login
Number of (n+1) X (9+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5 (constant-stress 1 X 1 tilings).
1

%I #9 Jun 20 2022 21:29:51

%S 35200,41500,48328,62800,79480,115480,160888,260680,401560,716200,

%T 1215928,2348200,4345240,8936680,17733688,38288680,80144920,179655400,

%U 391244728,902914600,2024143000,4777083880,10935717688,26248208680

%N Number of (n+1) X (9+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5 (constant-stress 1 X 1 tilings).

%H R. H. Hardin, <a href="/A235279/b235279.txt">Table of n, a(n) for n = 1..31</a>

%F Empirical: a(n) = a(n-1) +15*a(n-2) -15*a(n-3) -80*a(n-4) +80*a(n-5) +180*a(n-6) -180*a(n-7) -144*a(n-8) +144*a(n-9).

%e Some solutions for n=5:

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

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

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

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

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

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

%Y Column 9 of A235280.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 05 2014