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A235095 Number of (n+1) X (5+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). 1

%I

%S 8184,13624,23792,48844,102336,238060,556560,1391140,3490704,9185772,

%T 24324016,66878228,185310144,529799468,1525904288,4511424324,

%U 13411807392,40740353404,124118467856,384838123972,1193707380432,3756359968492

%N Number of (n+1) X (5+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

%H R. H. Hardin, <a href="/A235095/b235095.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) +6*a(n-2) -279*a(n-3) +514*a(n-4) +3213*a(n-5) -10656*a(n-6) -15267*a(n-7) +92760*a(n-8) +195*a(n-9) -435144*a(n-10) +318243*a(n-11) +1151658*a(n-12) -1467393*a(n-13) -1629840*a(n-14) +3140943*a(n-15) +944545*a(n-16) -3513288*a(n-17) +172122*a(n-18) +2004312*a(n-19) -330148*a(n-20) -568464*a(n-21) +76440*a(n-22) +65520*a(n-23).

%e Some solutions for n=4:

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

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

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

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

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

%Y Column 5 of A235098.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 03 2014

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Last modified February 1 17:02 EST 2023. Contains 359993 sequences. (Running on oeis4.)