A234891 - OEIS

A234891

Number of (n+1) X (1+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

%I #7 Jun 20 2022 16:04:07

%S 160,760,3456,16572,76032,365024,1676576,8050184,36980544,177566656,

%T 815714624,3916758000,17993056384,86395956032,396891522944,

%U 1905725225888,8754648687872,42036560942336,193110382571776,927244100524992

%N Number of (n+1) X (1+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

%H R. H. Hardin, <a href="/A234891/b234891.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 30*a(n-2) -194*a(n-4) +428*a(n-6) -288*a(n-8) +48*a(n-10).

%e Some solutions for n=5:

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

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

%e 6 4 0 2 6 2 2 0 2 3 6 3 2 4 2 3 4 2 2 4

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

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

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

%Y Column 1 of A234898.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 01 2014