A235309 Number of (n+1) X (7+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6 (constant-stress 1 X 1 tilings).

32006, 46226, 64326, 107186, 168998, 319826, 568902, 1192946, 2360486, 5359826, 11572806, 27942386, 64584998, 163604306, 398458182, 1048568306, 2659410086, 7215704786, 18894569286, 52538233586, 141126255398, 400114549586

Offset

1,1

Comments

Column 7 of A235310.

Links

R. H. Hardin, Table of n, a(n) for n = 1..72

Formula

Empirical: a(n) = 4*a(n-1) +25*a(n-2) -112*a(n-3) -231*a(n-4) +1260*a(n-5) +875*a(n-6) -7280*a(n-7) -224*a(n-8) +22736*a(n-9) -7980*a(n-10) -36288*a(n-11) +21456*a(n-12) +23040*a(n-13) -17280*a(n-14).

Example

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

Crossrefs

Sequence in context: A236587 A255079 A354079 * A269318 A269319 A197114

Adjacent sequences: A235306 A235307 A235308 * A235310 A235311 A235312

Keyword

nonn

Author

R. H. Hardin, Jan 05 2014

Status

approved