A234736 Number of (n+1) X (6+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 8 (constant-stress 1 X 1 tilings).

119904, 233016, 423072, 972888, 2072256, 5395128, 13083552, 37239960, 99668544, 302942136, 872803872, 2789946648, 8503198656, 28292814648, 90149814432, 309941744280, 1023953849664, 3617288003256, 12314264477472, 44498943619608

Offset

1,1

Links

R. H. Hardin, Table of n, a(n) for n = 1..28

Formula

Empirical: a(n) = 8*a(n-1) +53*a(n-2) -564*a(n-3) -888*a(n-4) +17184*a(n-5) -2382*a(n-6) -296784*a(n-7) +308859*a(n-8) +3196608*a(n-9) -5284083*a(n-10) -22169196*a(n-11) +48357478*a(n-12) +97763896*a(n-13) -273091508*a(n-14) -253071696*a(n-15) +976703832*a(n-16) +271829664*a(n-17) -2148744960*a(n-18) +304750080*a(n-19) +2640988800*a(n-20) -1133222400*a(n-21) -1378944000*a(n-22) +870912000*a(n-23).

Example

Some solutions for n=1:
  4 6 5 7 1 6 5        7 2 5 2 7 0 5        5 7 2 7 3 7 2
  6 0 7 1 3 0 7        4 7 2 7 4 5 2        6 0 3 0 4 0 3

Crossrefs

Column 6 of A234738.

Sequence in context: A257267 A175581 A031664 * A236094 A043622 A272597

Adjacent sequences: A234733 A234734 A234735 * A234737 A234738 A234739

Keyword

nonn

Author

R. H. Hardin, Dec 30 2013

Status

approved