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

%I #8 Jun 18 2022 23:51:58

%S 2672,8328,24232,80812,251656,878988,2873128,10362212,35132248,

%T 129681452,452445096,1699526196,6067071432,23102391980,84025709016,

%U 323468947012,1194691128744,4640522916700,17359355152040,67935545177540

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

%C Column 3 of A235258.

%H R. H. Hardin, <a href="/A235253/b235253.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A235253/a235253.txt">Empirical recurrence of order 57</a>

%F Empirical recurrence of order 57 (see link above).

%e Some solutions for n=4:

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 05 2014