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Number of (n+1) X (3+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).
1

%I #8 Jun 18 2022 23:55:31

%S 3746,10866,31858,108374,359962,1305758,4596034,17276982,63001946,

%T 243085134,909934434,3586769950,13711602746,55035076230,214054835346,

%U 872409743726,3441514152170,14207234974590,56691746507634

%N Number of (n+1) X (3+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

%C Column 3 of A235248.

%H R. H. Hardin, <a href="/A235243/b235243.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A235243/a235243.txt">Empirical recurrence of order 61</a>

%F Empirical recurrence of order 61 (see link above).

%e Some solutions for n=4:

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 05 2014