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 A235310 T(n,k) is the number of (n+1) X (k+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6 (constant-stress 1 X 1 tilings). 9
 70, 210, 210, 518, 518, 518, 1554, 1106, 1106, 1554, 4006, 2918, 2118, 2918, 4006, 12018, 6786, 5042, 5042, 6786, 12018, 32006, 18662, 10790, 10790, 10790, 18662, 32006, 96018, 46226, 27602, 21090, 21090, 27602, 46226, 96018, 261670, 130598 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts 70 210 518 1554 4006 12018 32006 96018 261670 210 518 1106 2918 6786 18662 46226 130598 338370 518 1106 2118 5042 10790 27602 64326 172658 428198 1554 2918 5042 10790 21090 49574 107186 269222 629154 4006 6786 10790 21090 38182 83394 168998 400674 889126 12018 18662 27602 49574 83394 168998 319826 711206 1486338 32006 46226 64326 107186 168998 319826 568902 1192946 2360486 96018 130598 172658 269222 400674 711206 1192946 2360486 4418658 261670 338370 428198 629154 889126 1486338 2360486 4418658 7845670 785010 973478 1187666 1656998 2238786 3544742 5359826 9528998 16106370 Empirical: T(n,k) is the number of (n+1) X (k+1) 0..4+i arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4+2*i (constant-stress 1 X 1 tilings), for i=1..3(..?). LINKS R. H. Hardin, Table of n, a(n) for n = 1..312 FORMULA Empirical for column k (the k=2..7 recurrence also works for k=1; apparently all rows and columns satisfy the same order 14 recurrence): k=1: a(n) = 3*a(n-1) +13*a(n-2) -39*a(n-3) -40*a(n-4) +120*a(n-5) k=2..7: [same order 14 recurrence] EXAMPLE Some solutions for n=5, k=4: 0 3 0 4 0 5 2 5 2 5 3 5 0 5 3 5 1 5 2 5 5 2 5 3 5 2 5 2 5 2 4 0 1 0 4 0 2 0 3 0 1 4 1 5 1 3 0 3 0 3 3 5 0 5 3 4 0 4 1 4 3 0 3 1 3 1 4 1 4 1 4 0 1 0 4 0 2 0 3 0 0 3 0 4 0 3 0 3 0 3 3 5 0 5 3 4 0 4 1 4 4 1 4 2 4 1 4 1 4 1 5 1 2 1 5 1 3 1 4 1 CROSSREFS Sequence in context: A165762 A165764 A153669 * A235303 A234564 A234557 Adjacent sequences: A235307 A235308 A235309 * A235311 A235312 A235313 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jan 05 2014 STATUS approved

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Last modified July 14 13:51 EDT 2024. Contains 374318 sequences. (Running on oeis4.)