# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a234898 Showing 1-1 of 1 %I A234898 #6 Jun 20 2022 21:16:07 %S A234898 160,760,760,3456,4024,3456,16572,20404,20404,16572,76032,115924, %T A234898 113288,115924,76032,365024,625480,743436,743436,625480,365024, %U A234898 1676576,3640580,4634504,5941320,4634504,3640580,1676576,8050184,19965444,32110856 %N A234898 T(n,k) is the number of (n+1) X (k+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). %C A234898 Table starts %C A234898 160 760 3456 16572 76032 365024 %C A234898 760 4024 20404 115924 625480 3640580 %C A234898 3456 20404 113288 743436 4634504 32110856 %C A234898 16572 115924 743436 5941320 44518632 385262124 %C A234898 76032 625480 4634504 44518632 399820568 4244726408 %C A234898 365024 3640580 32110856 385262124 4244726408 57645698844 %C A234898 1676576 19965444 208211944 3064189932 41268054688 700047980248 %C A234898 8050184 117487100 1482491852 27702518548 464573800208 10265376879740 %C A234898 36980544 648180128 9763925800 225962416092 4675921747384 130326665117372 %C A234898 177566656 3842929120 70741188392 2102864178560 54793760749712 %H A234898 R. H. Hardin, Table of n, a(n) for n = 1..112 %F A234898 Empirical for column k: %F A234898 k=1: a(n) = 30*a(n-2) -194*a(n-4) +428*a(n-6) -288*a(n-8) +48*a(n-10). %F A234898 k=2: [order 51]. %e A234898 Some solutions for n=3, k=4: %e A234898 3 5 1 6 3 3 5 4 5 2 4 5 4 6 4 4 6 4 5 2 %e A234898 0 3 0 4 0 0 3 1 3 1 0 2 0 1 0 0 1 0 2 0 %e A234898 1 5 1 6 3 2 6 3 6 5 4 5 2 4 2 3 5 3 6 3 %e A234898 0 3 0 4 2 0 5 1 3 1 2 4 0 3 0 2 3 0 4 0 %K A234898 nonn,tabl %O A234898 1,1 %A A234898 _R. H. Hardin_, Jan 01 2014 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE