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A234560 Number of (n+1) X (4+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings). 1

%I #6 Jun 20 2022 19:33:49

%S 1954,3384,5710,11982,23830,57210,128614,339234,831334,2348514,

%T 6096550,18108882,48774790,150230370,414112774,1309321074,3662050534,

%U 11801192514,33312585190,108877827282,309161287750,1021316064930,2911094369734

%N Number of (n+1) X (4+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings).

%H R. H. Hardin, <a href="/A234560/b234560.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +30*a(n-2) -132*a(n-3) -331*a(n-4) +1720*a(n-5) +1530*a(n-6) -11280*a(n-7) -1324*a(n-8) +39136*a(n-9) -12360*a(n-10) -67968*a(n-11) +39456*a(n-12) +46080*a(n-13) -34560*a(n-14).

%e Some solutions for n=5:

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

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

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

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

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

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

%Y Column 4 of A234564.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 28 2013

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Last modified September 8 17:50 EDT 2024. Contains 375753 sequences. (Running on oeis4.)