A235286 - OEIS

A235286

Number of (n+1) X (5+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings).

%I #7 Jun 18 2022 23:38:03

%S 236,304,380,544,740,1168,1724,2944,4676,8464,14300,26944,47780,92368,

%T 169724,333184,627716,1243024,2382620,4740544,9195620,18341968,

%U 35876924,71655424,140988356,281779984,556789340,1113185344,2206452260,4412117968

%N Number of (n+1) X (5+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings).

%C Column 5 of A235289.

%H R. H. Hardin, <a href="/A235286/b235286.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +3*a(n-2) -15*a(n-3) +4*a(n-4) +18*a(n-5) -12*a(n-6).

%e Some solutions for n=4:

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 05 2014