A234242 - OEIS

A234242

Number of (n+1) X (2+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant-stress 1 X 1 tilings).

%I #7 Jun 20 2022 19:09:47

%S 6706,99630,1520024,23428586,361889580,5604275160,86776363660,

%T 1346057282610,20871073347970,324182229853644,5033011970696922,

%U 78280166521734740,1216896695697878704,18952578238483018624

%N Number of (n+1) X (2+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant-stress 1 X 1 tilings).

%H R. H. Hardin, <a href="/A234242/b234242.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A234242/a234242.txt">Empirical recurrence of order 45</a>

%F Empirical recurrence of order 45 (see link above).

%e Some solutions for n=2:

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

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

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

%Y Column 2 of A234245.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 21 2013