A234223 - OEIS

A234223

Number of (n+1) X (4+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings).

%I #6 Jun 19 2022 02:02:49

%S 7696,20724,56936,167688,503272,1597896,5162984,17479656,60126376,

%T 215032104,779519336,2918196648,11040350632,42883189416,167792882024,

%U 670921667496,2694321027496,11019119460264,45144426968936

%N Number of (n+1) X (4+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings).

%H R. H. Hardin, <a href="/A234223/b234223.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-1) +16*a(n-2) -460*a(n-3) +789*a(n-4) +7170*a(n-5) -23944*a(n-6) -39920*a(n-7) +246076*a(n-8) -38440*a(n-9) -1115136*a(n-10) +1151040*a(n-11) +2005056*a(n-12) -3657600*a(n-13) -331776*a(n-14) +3456000*a(n-15) -1658880*a(n-16).

%e Some solutions for n=4:

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

%e 2 4 2 1 4 4 4 4 1 1 1 1 1 4 4 1 2 1 2 1

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

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

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

%Y Column 4 of A234227.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 21 2013