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A234679 Number of (n+1) X (6+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5 (constant-stress 1 X 1 tilings). 1

%I #6 Jun 20 2022 19:48:13

%S 52016,82956,129848,254784,476648,1092120,2354408,5995464,14369096,

%T 39500136,102370088,298658664,820046408,2509815720,7193968808,

%U 22891730664,67766851016,222539436456,675043564328,2273371488744

%N Number of (n+1) X (6+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5 (constant-stress 1 X 1 tilings).

%H R. H. Hardin, <a href="/A234679/b234679.txt">Table of n, a(n) for n = 1..68</a>

%F Empirical: a(n) = 4*a(n-1) +47*a(n-2) -200*a(n-3) -901*a(n-4) +4204*a(n-5) +8957*a(n-6) -48440*a(n-7) -47194*a(n-8) +334096*a(n-9) +101948*a(n-10) -1410080*a(n-11) +170136*a(n-12) +3549696*a(n-13) -1446912*a(n-14) -4861440*a(n-15) +2954880*a(n-16) +2764800*a(n-17) -2073600*a(n-18).

%e Some solutions for n=3:

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

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

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

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

%Y Column 6 of A234681.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 29 2013

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Last modified August 7 03:39 EDT 2024. Contains 375008 sequences. (Running on oeis4.)