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A235094 Number of (n+1) X (4+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 2580,4820,9460,21264,48844,121768,306532,813576,2175660,6047320,

%T 16929348,48865480,141911020,422528408,1263337092,3855011816,

%U 11785843980,36637377848,113858844484,358743669288,1127952290764,3587979285400

%N Number of (n+1) X (4+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="/A235094/b235094.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 5 0 3 0 5 2 5 3 5 4 2 5 2 5 3 3 4 3 2 4

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

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

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

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

%Y Column 4 of A235098.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 03 2014

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Last modified January 26 16:14 EST 2023. Contains 359833 sequences. (Running on oeis4.)