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A234680 Number of (n+1) X (7+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 19:49:36

%S 164416,243164,354856,639440,1109272,2354408,4736536,11294552,

%T 25494136,66161144,162985816,451913720,1189756792,3483132728,

%U 9648855256,29560946552,85169950456,270999391544,804887071576,2641964987000

%N Number of (n+1) X (7+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="/A234680/b234680.txt">Table of n, a(n) for n = 1..29</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=1:

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

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

%Y Column 7 of A234681.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 29 2013

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