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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). 8

%I #6 Jun 20 2022 21:16:07

%S 160,760,760,3456,4024,3456,16572,20404,20404,16572,76032,115924,

%T 113288,115924,76032,365024,625480,743436,743436,625480,365024,

%U 1676576,3640580,4634504,5941320,4634504,3640580,1676576,8050184,19965444,32110856

%N 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 Table starts

%C 160 760 3456 16572 76032 365024

%C 760 4024 20404 115924 625480 3640580

%C 3456 20404 113288 743436 4634504 32110856

%C 16572 115924 743436 5941320 44518632 385262124

%C 76032 625480 4634504 44518632 399820568 4244726408

%C 365024 3640580 32110856 385262124 4244726408 57645698844

%C 1676576 19965444 208211944 3064189932 41268054688 700047980248

%C 8050184 117487100 1482491852 27702518548 464573800208 10265376879740

%C 36980544 648180128 9763925800 225962416092 4675921747384 130326665117372

%C 177566656 3842929120 70741188392 2102864178560 54793760749712

%H R. H. Hardin, <a href="/A234898/b234898.txt">Table of n, a(n) for n = 1..112</a>

%F Empirical for column k:

%F 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 k=2: [order 51].

%e Some solutions for n=3, k=4:

%e 3 5 1 6 3 3 5 4 5 2 4 5 4 6 4 4 6 4 5 2

%e 0 3 0 4 0 0 3 1 3 1 0 2 0 1 0 0 1 0 2 0

%e 1 5 1 6 3 2 6 3 6 5 4 5 2 4 2 3 5 3 6 3

%e 0 3 0 4 2 0 5 1 3 1 2 4 0 3 0 2 3 0 4 0

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jan 01 2014

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Last modified June 18 04:26 EDT 2024. Contains 373468 sequences. (Running on oeis4.)