A234735 Number of (n+1) X (5+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).

29976, 64320, 127032, 319488, 737160, 2072256, 5395128, 16400256, 46685256, 150256320, 456811512, 1535641728, 4907007240, 17070415296, 56711610168, 202785542016, 695029893576, 2541208424640, 8933061775992, 33257975319168

Offset

1,1

Links

R. H. Hardin, Table of n, a(n) for n = 1..91

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=3:
  2 5 2 5 1 4    1 6 4 7 1 6    2 6 3 6 1 5    2 5 2 6 3 6
  6 1 6 1 5 0    3 0 6 1 3 0    5 1 6 1 4 0    5 0 5 1 6 1
  3 6 3 6 2 5    0 5 3 6 0 5    1 5 2 5 0 4    3 6 3 7 4 7
  6 1 6 1 5 0    4 1 7 2 4 1    5 1 6 1 4 0    6 1 6 2 7 2

Crossrefs

Column 5 of A234738.

Sequence in context: A235581 A224612 A233946 * A106771 A184502 A285655

Adjacent sequences: A234732 A234733 A234734 * A234736 A234737 A234738

Keyword

nonn

Author

R. H. Hardin, Dec 30 2013

Status

approved