A234225 Number of (n+1) X (6+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings).

137536, 293316, 648536, 1597896, 4055128, 11145960, 31418264, 94267656, 289507096, 935746056, 3091187096, 10648070856, 37386104728, 135693045000, 499984167704, 1889644564296, 7218907939096, 28112535319176, 110246083106456

Offset

1,1

Links

R. H. Hardin, Table of n, a(n) for n = 1..46

Formula

Empirical: a(n) = 10*a(n-1) +16*a(n-2) -460*a(n-3) +789*a(n-4) +7170*a(n-5) -23944*a(n-6) -39920*a(n-7) +246076*a(n-8) -38440*a(n-9) -1115136*a(n-10) +1151040*a(n-11) +2005056*a(n-12) -3657600*a(n-13) -331776*a(n-14) +3456000*a(n-15) -1658880*a(n-16).

Example

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

Crossrefs

Column 6 of A234227.

Sequence in context: A015071 A130422 A022235 * A110598 A069336 A296341

Adjacent sequences: A234222 A234223 A234224 * A234226 A234227 A234228

Keyword

nonn

Author

R. H. Hardin, Dec 21 2013

Status

approved