A235003 - OEIS

A235003

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, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

%I #7 Jun 20 2022 00:49:52

%S 1946,14182,114796,1049470,10000516,98790336,988422984,9992949442,

%T 101510004806,1035354643932,10588460621818,108550039660252,

%U 1115075627451580,11476028691627948,118307818963681254

%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, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

%H R. H. Hardin, <a href="/A235003/b235003.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A235003/a235003.txt">Empirical recurrence of order 70</a>

%F Empirical recurrence of order 70 (see link above).

%e Some solutions for n=3:

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

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

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

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

%Y Column 2 of A235007.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 02 2014