A234892 - OEIS

A234892

Number of (n+1) X (2+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 01:56:04

%S 760,4024,20404,115924,625480,3640580,19965444,117487100,648180128,

%T 3842929120,21274493964,126918950864,704449207500,4225296177556,

%U 23502462471760,141626870060880,789204770612276,4774795329104980

%N Number of (n+1) X (2+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="/A234892/b234892.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A234892/a234892.txt">Empirical recurrence of order 51</a>

%F Empirical recurrence of order 51 (see link above).

%e Some solutions for n=4:

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

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

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

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

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

%Y Column 2 of A234898.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 01 2014