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A234228
Number of (n+1) X (1+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings).
1
568, 5260, 48592, 449880, 4160672, 38547120, 356781376, 3308068320, 30642026624, 284343188160, 2635852305664, 24479566880640, 227101552312832, 2110876497027840, 19598341417366528, 182315530807365120
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 182*a(n-2) - 9024*a(n-4) + 66960*a(n-6).
Empirical g.f.: 4*x*(142 + 1315*x - 13696*x^2 - 126860*x^3 + 110640*x^4 + 1033800*x^5) / ((1 - 90*x^2)*(1 - 92*x^2 + 744*x^4)). - Colin Barker, Oct 14 2018
EXAMPLE
Some solutions for n=3:
2 4 5 2 7 6 7 4 7 0 2 3 7 3 6 2 0 1 2 4
3 2 0 0 7 3 0 0 7 3 3 1 1 0 5 4 2 0 6 5
2 4 3 6 1 0 5 2 3 2 6 1 2 4 5 7 2 3 2 4
1 0 1 7 2 4 3 3 4 0 6 4 6 5 5 4 2 0 2 7
CROSSREFS
Column 1 of A234233.
Sequence in context: A134922 A322688 A234233 * A184682 A223164 A290868
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 21 2013
STATUS
approved