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A234821 Number of (n+1) X (6+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6 (constant-stress 1 X 1 tilings). 1

%I #7 Jun 19 2022 23:38:56

%S 139112,252486,443220,994812,2099300,5441232,13185612,37597992,

%T 100759412,307659576,887665260,2856356952,8711766260,29230410072,

%U 93082415532,323139754392,1065130800692,3802624291416,12891708917100,47097845952792

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

%H R. H. Hardin, <a href="/A234821/b234821.txt">Table of n, a(n) for n = 1..34</a>

%F Empirical: a(n) = 8*a(n-1) +60*a(n-2) -620*a(n-3) -1210*a(n-4) +20740*a(n-5) +1580*a(n-6) -392180*a(n-7) +353267*a(n-8) +4606324*a(n-9) -7135240*a(n-10) -34677440*a(n-11) +72387960*a(n-12) +165390560*a(n-13) -443380480*a(n-14) -464032320*a(n-15) +1696321584*a(n-16) +566607168*a(n-17) -3948347520*a(n-18) +465384960*a(n-19) +5084985600*a(n-20) -2142028800*a(n-21) -2757888000*a(n-22) +1741824000*a(n-23).

%e Some solutions for n=1:

%e 2 6 5 6 1 6 6 4 0 5 1 6 1 6 1 3 1 3 0 3 0

%e 2 0 5 0 1 0 6 1 3 2 4 3 4 3 5 1 5 1 4 1 4

%Y Column 6 of A234823.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 31 2013

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Last modified April 25 16:45 EDT 2024. Contains 371989 sequences. (Running on oeis4.)