Triangle Lime/big
| Studies of Boolean functions sequences related to seals |
The data of Elm comes from Harald Fripertinger: https://www.mathe2.uni-bayreuth.de/frib/codes/tables_6.html
There are also subpages showing the prime factors in these three triangles: Triangle Lime/big/primes (But there does not seem to be a pattern.)
Elm
[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 4, 6, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 5, 10, 10, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 6, 16, 22, 16, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 7, 23, 43, 43, 23, 7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 8, 32, 77, 106, 77, 32, 8, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 9, 43, 131, 240, 240, 131, 43, 9, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 10, 56, 213, 516, 705, 516, 213, 56, 10, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 11, 71, 333, 1060, 1988, 1988, 1060, 333, 71, 11, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 12, 89, 507, 2108, 5468, 7664, 5468, 2108, 507, 89, 12, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 13, 109, 751, 4064, 14724, 29765, 29765, 14724, 4064, 751, 109, 13, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 14, 132, 1088, 7641, 39006, 117169, 173035, 117169, 39006, 7641, 1088, 132, 14, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 15, 158, 1546, 14036, 101818, 467266, 1074526, 1074526, 467266, 101818, 14036, 1546, 158, 15, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 16, 187, 2159, 25253, 261924, 1880517, 7059804, 11249092, 7059804, 1880517, 261924, 25253, 2159, 187, 16, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 17, 219, 2967, 44560, 663748, 7588675, 48235007, 130484439, 130484439, 48235007, 7588675, 663748, 44560, 2967, 219, 17, 1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 18, 255, 4023, 77245, 1655781, 30491836, 336048291, 1612782351, 2777510651, 1612782351, 336048291, 30491836, 1655781, 77245, 4023, 255, 18, 1, 0, 0, 0, 0, 0, 0, 0], [1, 19, 294, 5384, 131658, 4062110, 121191234, 2345912476, 20497233072, 63932288606, 63932288606, 20497233072, 2345912476, 121191234, 4062110, 131658, 5384, 294, 19, 1, 0, 0, 0, 0, 0, 0], [1, 20, 337, 7122, 220883, 9793065, 473940269, 16193974418, 260975054461, 1517149985741, 2766649228582, 1517149985741, 260975054461, 16193974418, 473940269, 9793065, 220883, 7122, 337, 20, 1, 0, 0, 0, 0, 0], [1, 21, 384, 9322, 365027, 23186825, 1816579108, 109563962854, 3273854883027, 36010264692449, 123706235079334, 123706235079334, 36010264692449, 3273854883027, 109563962854, 1816579108, 23186825, 365027, 9322, 384, 21, 1, 0, 0, 0, 0], [1, 22, 435, 12081, 594674, 53896597, 6806904522, 722594600193, 40073904283055, 840093483542506, 5533625805750919, 10465307680970874, 5533625805750919, 840093483542506, 40073904283055, 722594600193, 6806904522, 53896597, 594674, 12081, 435, 22, 1, 0, 0, 0], [1, 23, 490, 15512, 955649, 122975627, 24897540538, 4631590699334, 476142523109291, 19081972191037071, 243255774840547517, 887769477715581815, 887769477715581815, 243255774840547517, 19081972191037071, 476142523109291, 4631590699334, 24897540538, 122975627, 955649, 15512, 490, 23, 1, 0, 0], [1, 24, 550, 19752, 1515908, 275449464, 88831250408, 28811338570224, 5477680380616386, 419987383445908241, 10410221638548574128, 74121865216658531509, 143370246560219897445, 74121865216658531509, 10410221638548574128, 419987383445908241, 5477680380616386, 28811338570224, 88831250408, 275449464, 1515908, 19752, 550, 24, 1, 0], [1, 25, 614, 24950, 2374875, 605794093, 309108741706, 173868030213652, 60959857679340812, 8938091097199428150, 431688719529498255844, 6031564951964882151520, 22846880115004245155116, 22846880115004245155116, 6031564951964882151520, 431688719529498255844, 8938091097199428150, 60959857679340812, 173868030213652, 309108741706, 605794093, 2374875, 24950, 614, 25, 1]
SquareElm
[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], [1, 3, 6, 10, 16, 23, 32, 43, 56, 71, 89, 109, 132], [1, 4, 10, 22, 43, 77, 131, 213, 333, 507, 751, 1088, 1546], [1, 5, 16, 43, 106, 240, 516, 1060, 2108, 4064, 7641, 14036, 25253], [1, 6, 23, 77, 240, 705, 1988, 5468, 14724, 39006, 101818, 261924, 663748], [1, 7, 32, 131, 516, 1988, 7664, 29765, 117169, 467266, 1880517, 7588675, 30491836], [1, 8, 43, 213, 1060, 5468, 29765, 173035, 1074526, 7059804, 48235007, 336048291, 2345912476], [1, 9, 56, 333, 2108, 14724, 117169, 1074526, 11249092, 130484439, 1612782351, 20497233072, 260975054461], [1, 10, 71, 507, 4064, 39006, 467266, 7059804, 130484439, 2777510651, 63932288606, 1517149985741, 36010264692449], [1, 11, 89, 751, 7641, 101818, 1880517, 48235007, 1612782351, 63932288606, 2766649228582, 123706235079334, 5533625805750919], [1, 12, 109, 1088, 14036, 261924, 7588675, 336048291, 20497233072, 1517149985741, 123706235079334, 10465307680970874, 887769477715581815], [1, 13, 132, 1546, 25253, 663748, 30491836, 2345912476, 260975054461, 36010264692449, 5533625805750919, 887769477715581815, 143370246560219897445]
diagonal: [1, 2, 6, 22, 106, 705, 7664, 173035, 11249092, 2777510651, 2766649228582, 10465307680970874, 143370246560219897445]
Lime
[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 4, 6, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 6, 12, 11, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 7, 21, 27, 17, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 9, 34, 63, 54, 25, 7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 11, 54, 134, 163, 99, 35, 8, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 13, 82, 276, 465, 385, 170, 47, 9, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 15, 120, 544, 1283, 1472, 847, 277, 61, 10, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 18, 174, 1048, 3480, 5676, 4408, 1775, 436, 78, 11, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 20, 244, 1956, 9256, 22101, 24297, 12616, 3557, 662, 97, 12, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 23, 337, 3577, 24282, 87404, 143270, 102445, 34942, 6890, 979, 119, 13, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 26, 458, 6395, 62812, 350097, 901491, 957357, 428260, 94177, 12948, 1414, 144, 14, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 29, 613, 11217, 160106, 1413251, 5985278, 10174566, 6592538, 1778699, 247888, 23707, 2001, 172, 15, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 32, 808, 19307, 401824, 5708158, 41175203, 119235347, 123424635, 46354490, 7326751, 638495, 42401, 2780, 203, 16, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 36, 1056, 32685, 992033, 22903161, 287813284, 1482297912, 2647026212, 1564547344, 328459616, 29828088, 1611221, 74278, 3804, 238, 17, 1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 39, 1361, 54413, 2406329, 90699398, 2009864185, 18884450721, 61154777955, 62319506255, 20161184781, 2315420640, 119535453, 3984865, 127635, 5129, 276, 18, 1, 0, 0, 0, 0, 0, 0], [0, 1, 43, 1738, 89225, 5730955, 352749035, 13848061942, 240477821389, 1453217697135, 2702716939976, 1496652752669, 258629141985, 16072783184, 469878159, 9661407, 215499, 6828, 318, 19, 1, 0, 0, 0, 0, 0], [0, 1, 47, 2200, 144144, 13393760, 1342638839, 93369988436, 3012879828566, 34493114706708, 120939585850752, 122189085093593, 35749289637988, 3257660908609, 109090022585, 1806786043, 22965942, 357905, 8985, 364, 20, 1, 0, 0, 0, 0], [0, 1, 51, 2759, 229647, 30709772, 4990325414, 613030637339, 36800049400028, 804083218850057, 5409919570671585, 10341601445891540, 5497615541058470, 836819628659479, 39964340320201, 720778021085, 6783717697, 53531570, 585352, 11697, 414, 21, 1, 0, 0, 0], [0, 1, 55, 3431, 360975, 69079030, 18090636016, 3908996099141, 436068618826236, 18241878707494565, 237722149034796598, 877304170034610941, 882235851909830896, 242415681357005011, 19041898286754016, 475419928509098, 4624783794812, 24843643941, 122380953, 943568, 15077, 468, 22, 1, 0, 0], [0, 1, 60, 4240, 560259, 152473837, 63933709870, 24179747870890, 5001537857507095, 400905411254871170, 10166965863708026611, 73234095738942949694, 142482477082504315630, 73878609441817983992, 10391139666357537057, 419511240922798950, 5473048789917052, 28786441029686, 88708274781, 274493815, 1500396, 19262, 527, 23, 1, 0], [0, 1, 64, 5198, 858967, 330344629, 220277491298, 145056691643428, 55482177298724426, 8518103713753519909, 421278497890949681716, 5957443086748223620011, 22703509868444025257671, 22772758249787586623607, 6021154730326333577392, 431268732146052347603, 8932613416818811764, 60931046340770588, 173779198963244, 308833292242, 604278185, 2355123, 24400, 590, 24, 1]
SquareLime
These rows are the diagonals of Lime and the columns of TurnedLime.
[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], [0, 1, 3, 6, 11, 17, 25, 35, 47, 61, 78, 97, 119], [0, 1, 4, 12, 27, 54, 99, 170, 277, 436, 662, 979, 1414], [0, 1, 6, 21, 63, 163, 385, 847, 1775, 3557, 6890, 12948, 23707], [0, 1, 7, 34, 134, 465, 1472, 4408, 12616, 34942, 94177, 247888, 638495], [0, 1, 9, 54, 276, 1283, 5676, 24297, 102445, 428260, 1778699, 7326751, 29828088], [0, 1, 11, 82, 544, 3480, 22101, 143270, 957357, 6592538, 46354490, 328459616, 2315420640], [0, 1, 13, 120, 1048, 9256, 87404, 901491, 10174566, 123424635, 1564547344, 20161184781, 258629141985], [0, 1, 15, 174, 1956, 24282, 350097, 5985278, 119235347, 2647026212, 62319506255, 1496652752669, 35749289637988], [0, 1, 18, 244, 3577, 62812, 1413251, 41175203, 1482297912, 61154777955, 2702716939976, 122189085093593, 5497615541058470], [0, 1, 20, 337, 6395, 160106, 5708158, 287813284, 18884450721, 1453217697135, 120939585850752, 10341601445891540, 882235851909830896], [0, 1, 23, 458, 11217, 401824, 22903161, 2009864185, 240477821389, 34493114706708, 5409919570671585, 877304170034610941, 142482477082504315630]
SquareTurnedLime
These rows are the diagonals of TurnedLime and the columns of Lime.
[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 2, 3, 4, 6, 7, 9, 11, 13, 15, 18, 20, 23], [1, 3, 6, 12, 21, 34, 54, 82, 120, 174, 244, 337, 458], [1, 4, 11, 27, 63, 134, 276, 544, 1048, 1956, 3577, 6395, 11217], [1, 5, 17, 54, 163, 465, 1283, 3480, 9256, 24282, 62812, 160106, 401824], [1, 6, 25, 99, 385, 1472, 5676, 22101, 87404, 350097, 1413251, 5708158, 22903161], [1, 7, 35, 170, 847, 4408, 24297, 143270, 901491, 5985278, 41175203, 287813284, 2009864185], [1, 8, 47, 277, 1775, 12616, 102445, 957357, 10174566, 119235347, 1482297912, 18884450721, 240477821389], [1, 9, 61, 436, 3557, 34942, 428260, 6592538, 123424635, 2647026212, 61154777955, 1453217697135, 34493114706708], [1, 10, 78, 662, 6890, 94177, 1778699, 46354490, 1564547344, 62319506255, 2702716939976, 120939585850752, 5409919570671585], [1, 11, 97, 979, 12948, 247888, 7326751, 328459616, 20161184781, 1496652752669, 122189085093593, 10341601445891540, 877304170034610941], [1, 12, 119, 1414, 23707, 638495, 29828088, 2315420640, 258629141985, 35749289637988, 5497615541058470, 882235851909830896, 142482477082504315630]
diagonal: [1, 1, 3, 12, 63, 465, 5676, 143270, 10174566, 2647026212, 2702716939976, 10341601445891540, 142482477082504315630]
Magnolia
[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 5, 8, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 6, 15, 15, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 8, 27, 42, 27, 8, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 10, 45, 100, 100, 45, 10, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 12, 71, 222, 331, 222, 71, 12, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 14, 107, 462, 1007, 1007, 462, 107, 14, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 17, 159, 928, 2936, 4393, 2936, 928, 159, 17, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 19, 226, 1782, 8208, 18621, 18621, 8208, 1782, 226, 19, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 22, 317, 3333, 22326, 78148, 121169, 78148, 22326, 3333, 317, 22, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 25, 435, 6058, 59235, 325815, 814087, 814087, 325815, 59235, 6058, 435, 25, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 28, 587, 10759, 153711, 1350439, 5635181, 9273075, 5635181, 1350439, 153711, 10759, 587, 28, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 31, 779, 18694, 390607, 5548052, 39761952, 113250069, 113250069, 39761952, 5548052, 390607, 18694, 779, 31, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 35, 1024, 31877, 972726, 22501337, 282105126, 1441122709, 2527790865, 1441122709, 282105126, 22501337, 972726, 31877, 1024, 35, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 38, 1325, 53357, 2373644, 89707365, 1986961024, 18596637437, 59672480043, 59672480043, 18596637437, 1986961024, 89707365, 2373644, 53357, 1325, 38, 1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 42, 1699, 87864, 5676542, 350342706, 13757362544, 238467957204, 1434333246414, 2641562162021, 1434333246414, 238467957204, 13757362544, 350342706, 5676542, 87864, 1699, 42, 1, 0, 0, 0, 0, 0, 0], [0, 1, 46, 2157, 142406, 13304535, 1336907884, 93017239401, 2999031766624, 34252636885319, 119486368153617, 119486368153617, 34252636885319, 2999031766624, 93017239401, 1336907884, 13304535, 142406, 2157, 46, 1, 0, 0, 0, 0, 0], [0, 1, 50, 2712, 227447, 30565628, 4976931654, 611687998500, 36706679411592, 801070339021491, 5375426455964877, 10220661860040788, 5375426455964877, 801070339021491, 36706679411592, 611687998500, 4976931654, 30565628, 227447, 2712, 50, 1, 0, 0, 0, 0], [0, 1, 54, 3380, 358216, 68849383, 18059926244, 3904005773727, 435455588188897, 18205078658094537, 236918065815946541, 871894250463939356, 871894250463939356, 236918065815946541, 18205078658094537, 435455588188897, 3904005773727, 18059926244, 68849383, 358216, 3380, 54, 1, 0, 0, 0], [0, 1, 59, 4185, 556828, 152112862, 63864630840, 24161657234874, 4997628861407954, 400469342636044934, 10148723985000532046, 72996373589908153096, 141605172912469704689, 72996373589908153096, 10148723985000532046, 400469342636044934, 4997628861407954, 24161657234874, 63864630840, 152112862, 556828, 4185, 59, 1, 0, 0], [0, 1, 63, 5138, 854727, 329784370, 220125017461, 144992757933558, 55457997550853536, 8513102175896012814, 420877592479694810546, 5947276120884515593400, 22630275772705082307977, 22630275772705082307977, 5947276120884515593400, 420877592479694810546, 8513102175896012814, 55457997550853536, 144992757933558, 220125017461, 329784370, 854727, 5138, 63, 1, 0]
SquareMagnolia
[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 1, 2, 3, 5, 6, 8, 10, 12, 14, 17, 19, 22], [0, 1, 3, 8, 15, 27, 45, 71, 107, 159, 226, 317, 435], [0, 1, 5, 15, 42, 100, 222, 462, 928, 1782, 3333, 6058, 10759], [0, 1, 6, 27, 100, 331, 1007, 2936, 8208, 22326, 59235, 153711, 390607], [0, 1, 8, 45, 222, 1007, 4393, 18621, 78148, 325815, 1350439, 5548052, 22501337], [0, 1, 10, 71, 462, 2936, 18621, 121169, 814087, 5635181, 39761952, 282105126, 1986961024], [0, 1, 12, 107, 928, 8208, 78148, 814087, 9273075, 113250069, 1441122709, 18596637437, 238467957204], [0, 1, 14, 159, 1782, 22326, 325815, 5635181, 113250069, 2527790865, 59672480043, 1434333246414, 34252636885319], [0, 1, 17, 226, 3333, 59235, 1350439, 39761952, 1441122709, 59672480043, 2641562162021, 119486368153617, 5375426455964877], [0, 1, 19, 317, 6058, 153711, 5548052, 282105126, 18596637437, 1434333246414, 119486368153617, 10220661860040788, 871894250463939356], [0, 1, 22, 435, 10759, 390607, 22501337, 1986961024, 238467957204, 34252636885319, 5375426455964877, 871894250463939356, 141605172912469704689]
diagonal: [1, 1, 2, 8, 42, 331, 4393, 121169, 9273075, 2527790865, 2641562162021, 10220661860040788, 141605172912469704689]