A235251 - OEIS

A235251

Number of (n+1) X (1+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 7, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

%I #7 Jun 18 2022 23:51:44

%S 184,744,2672,10820,39680,161060,600928,2443916,9247456,37667316,

%T 144145184,587867372,2270003552,9266785652,36041646880,147245616428,

%U 576021402208,2354746576308,9255402599456,37854511615724,149371395546464

%N Number of (n+1) X (1+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 7, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

%C Column 1 of A235258.

%H R. H. Hardin, <a href="/A235251/b235251.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 43*a(n-2) -617*a(n-4) +3073*a(n-6) -1762*a(n-8) +264*a(n-10).

%e Some solutions for n=4:

%e 0 4 3 1 5 2 6 4 3 4 3 0 4 0 7 2 5 1 6 0

%e 3 0 1 6 2 6 2 7 7 1 2 6 0 3 4 6 2 5 1 2

%e 1 5 3 1 4 1 4 2 5 6 7 4 6 2 6 1 4 0 7 1

%e 6 3 2 7 1 5 1 6 6 0 3 7 0 3 2 4 2 5 5 6

%e 0 4 4 2 7 4 5 3 0 1 6 3 5 1 5 0 4 0 6 0

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 05 2014