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A234652
Number of (n+1) X (2+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings).
1
728, 2648, 9616, 37352, 144512, 593048, 2414992, 10359416, 43905728, 194994488, 851994256, 3886321592, 17372570432, 80869715768, 367672598032, 1738035049016, 8001387470528, 38267054762168, 177809954398096, 857989731643832
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 9*a(n-1) +59*a(n-2) -741*a(n-3) -680*a(n-4) +23970*a(n-5) -24980*a(n-6) -382080*a(n-7) +836736*a(n-8) +3002976*a(n-9) -9941184*a(n-10) -8688384*a(n-11) +53360640*a(n-12) -15759360*a(n-13) -107827200*a(n-14) +99532800*a(n-15).
EXAMPLE
Some solutions for n=5:
1 1 1 0 2 2 3 4 3 0 0 1 4 0 5 1 4 1 4 0 4
5 1 5 3 1 5 4 1 4 4 0 5 4 4 5 4 3 4 3 3 3
2 2 2 0 2 2 2 3 2 1 1 2 1 5 2 1 4 1 4 0 4
0 4 0 2 0 4 4 1 4 1 5 2 2 2 3 2 1 2 2 2 2
5 5 5 1 3 3 0 1 0 1 1 2 4 0 5 1 4 1 0 4 0
0 4 0 3 1 5 3 0 3 0 4 1 1 1 2 5 4 5 2 2 2
CROSSREFS
Column 2 of A234658.
Sequence in context: A043487 A158395 A184077 * A050219 A051383 A293650
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 29 2013
STATUS
approved