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A234735 Number of (n+1) X (5+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 8 (constant-stress 1 X 1 tilings). 1

%I

%S 29976,64320,127032,319488,737160,2072256,5395128,16400256,46685256,

%T 150256320,456811512,1535641728,4907007240,17070415296,56711610168,

%U 202785542016,695029893576,2541208424640,8933061775992,33257975319168

%N Number of (n+1) X (5+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 8 (constant-stress 1 X 1 tilings).

%H R. H. Hardin, <a href="/A234735/b234735.txt">Table of n, a(n) for n = 1..91</a>

%F Empirical: a(n) = 8*a(n-1) +53*a(n-2) -564*a(n-3) -888*a(n-4) +17184*a(n-5) -2382*a(n-6) -296784*a(n-7) +308859*a(n-8) +3196608*a(n-9) -5284083*a(n-10) -22169196*a(n-11) +48357478*a(n-12) +97763896*a(n-13) -273091508*a(n-14) -253071696*a(n-15) +976703832*a(n-16) +271829664*a(n-17) -2148744960*a(n-18) +304750080*a(n-19) +2640988800*a(n-20) -1133222400*a(n-21) -1378944000*a(n-22) +870912000*a(n-23).

%e Some solutions for n=3:

%e 2 5 2 5 1 4 1 6 4 7 1 6 2 6 3 6 1 5 2 5 2 6 3 6

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

%e 3 6 3 6 2 5 0 5 3 6 0 5 1 5 2 5 0 4 3 6 3 7 4 7

%e 6 1 6 1 5 0 4 1 7 2 4 1 5 1 6 1 4 0 6 1 6 2 7 2

%Y Column 5 of A234738.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 30 2013

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Last modified August 9 09:14 EDT 2022. Contains 356021 sequences. (Running on oeis4.)