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A234453 Number of (n+1) X (2+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1 (constant-stress 1 X 1 tilings). 1

%I #6 Jun 20 2022 18:38:42

%S 2400,31112,427956,6049248,86545688,1246417268,17999990956,

%T 260509952008,3772324919216,54683798470992,792660439569184,

%U 11498882870642596,166774556604227496,2420540967413065532,35121760962460304188

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

%H R. H. Hardin, <a href="/A234453/b234453.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 24*a(n-1) +202*a(n-2) -8375*a(n-3) +18366*a(n-4) +832456*a(n-5) -4372543*a(n-6) -32845569*a(n-7) +252119346*a(n-8) +475222218*a(n-9) -6386106484*a(n-10) +1228195800*a(n-11) +78155524488*a(n-12) -93005666672*a(n-13) -459032184864*a(n-14) +814396694400*a(n-15) +1253941668864*a(n-16) -2968493257344*a(n-17) -1338994735872*a(n-18) +5126543725056*a(n-19) -147546633728*a(n-20) -4053307347968*a(n-21) +1013644265472*a(n-22) +1200673271808*a(n-23) -333045153792*a(n-24) -113446158336*a(n-25) +22613852160*a(n-26).

%e Some solutions for n=2:

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

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

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

%Y Column 2 of A234458.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 26 2013

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