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 A234490 T(n,k) is the number of (n+1) X (k+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant-stress 1 X 1 tilings). 9
 62, 242, 242, 944, 926, 944, 3686, 3540, 3540, 3686, 14402, 13554, 13260, 13554, 14402, 56312, 51950, 49784, 49784, 51950, 56312, 220334, 199340, 187196, 183422, 187196, 199340, 220334, 862706, 765738, 705072, 677138, 677138, 705072, 765738 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts 62 242 944 3686 14402 56312 220334 242 926 3540 13554 51950 199340 765738 944 3540 13260 49784 187196 705072 2659824 3686 13554 49784 183422 677138 2505400 9288710 14402 51950 187196 677138 2455350 8928348 32545706 56312 199340 705072 2505400 8928348 31925284 114484712 220334 765738 2659824 9288710 32545706 114484712 404043442 862706 2944686 10049936 34509914 118945534 411823840 1431125914 3380192 11336132 38030588 128461544 435728940 1485448976 5084793448 13252982 43687010 144134184 479146446 1600124066 5373690488 18127421166 LINKS R. H. Hardin, Table of n, a(n) for n = 1..179 FORMULA Empirical for column k: k=1: a(n) = 7*a(n-1) -9*a(n-2) -12*a(n-3). k=2: a(n) = 10*a(n-1) -28*a(n-2) +a(n-3) +54*a(n-4) +24*a(n-5). k=3: [order 11]. k=4: [order 18]. k=5: [order 31]. EXAMPLE Some solutions for n=4, k=4: 2 2 0 2 1 0 3 0 1 2 0 0 2 3 2 0 1 2 2 2 3 1 1 1 2 2 3 2 1 0 1 3 3 2 3 3 2 1 3 1 1 1 3 1 0 1 0 1 2 3 1 1 3 0 3 1 2 3 3 3 0 2 2 2 3 0 1 0 3 2 0 2 2 1 2 0 3 2 0 2 3 3 1 3 2 0 3 0 1 2 0 0 2 3 2 2 3 0 0 0 CROSSREFS Sequence in context: A100423 A230007 A318561 * A234483 A158067 A045220 Adjacent sequences: A234487 A234488 A234489 * A234491 A234492 A234493 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 26 2013 STATUS approved

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Last modified September 22 14:29 EDT 2023. Contains 365531 sequences. (Running on oeis4.)