A235316 Number of (n+1) X (5+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 7 (constant-stress 1 X 1 tilings).

11776, 22568, 40144, 89600, 184144, 459536, 1062832, 2873552, 7275856, 20859728, 56503984, 169327760, 482451664, 1496230736, 4431395632, 14119144592, 43104667216, 140303136848, 438787720624, 1452514539920, 4631009477584

Offset

1,1

Comments

Column 5 of A235319.

Links

R. H. Hardin, Table of n, a(n) for n = 1..176

Formula

Empirical: a(n) = 4*a(n-1) +47*a(n-2) -200*a(n-3) -901*a(n-4) +4204*a(n-5) +8957*a(n-6) -48440*a(n-7) -47194*a(n-8) +334096*a(n-9) +101948*a(n-10) -1410080*a(n-11) +170136*a(n-12) +3549696*a(n-13) -1446912*a(n-14) -4861440*a(n-15) +2954880*a(n-16) +2764800*a(n-17) -2073600*a(n-18).

Example

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

Crossrefs

Sequence in context: A250680 A045307 A229411 * A336658 A321158 A046192

Adjacent sequences: A235313 A235314 A235315 * A235317 A235318 A235319

Keyword

nonn

Author

R. H. Hardin, Jan 05 2014

Status

approved