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A235315 Number of (n+1) X (4+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 7 (constant-stress 1 X 1 tilings). 1

%I #7 Jun 18 2022 23:04:55

%S 3920,8392,16352,40144,89600,241600,598976,1723456,4616960,13917952,

%T 39447872,123109504,363776000,1165742080,3555169856,11629123456,

%U 36344940800,120802796032,384900713792,1295327764864,4190699379200

%N Number of (n+1) X (4+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 7 (constant-stress 1 X 1 tilings).

%C Column 4 of A235319.

%H R. H. Hardin, <a href="/A235315/b235315.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +47*a(n-2) -200*a(n-3) -901*a(n-4) +4204*a(n-5) +8957*a(n-6) -48440*a(n-7) -47194*a(n-8) +334096*a(n-9) +101948*a(n-10) -1410080*a(n-11) +170136*a(n-12) +3549696*a(n-13) -1446912*a(n-14) -4861440*a(n-15) +2954880*a(n-16) +2764800*a(n-17) -2073600*a(n-18).

%e Some solutions for n=4:

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 05 2014

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Last modified August 30 10:20 EDT 2024. Contains 375542 sequences. (Running on oeis4.)