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A234659 Number of (n+1) X (1+1) 0..6 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

%S 298,1820,11112,68086,417050,2564388,15760606,97264082,599847168,

%T 3715680490,22995724082,142980376236,887988916630,5541920176778,

%U 34537856122656,216342520763602,1352830192028858,8504211973522620

%N Number of (n+1) X (1+1) 0..6 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="/A234659/b234659.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 11*a(n-1) + 17*a(n-2) - 492*a(n-3) + 1050*a(n-4) + 1260*a(n-5).

%F Empirical g.f.: 2*x*(149 - 729*x - 6987*x^2 + 30765*x^3 + 30870*x^4) / ((1 - 6*x)*(1 - 5*x - 5*x^2)*(1 - 42*x^2)). - _Colin Barker_, Oct 16 2018

%e Some solutions for n=4:

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

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

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

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

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

%Y Column 1 of A234665.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 29 2013

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Last modified January 31 01:17 EST 2023. Contains 359947 sequences. (Running on oeis4.)