A234452 Number of (n+1) X (1+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1 (constant-stress 1 X 1 tilings).

280, 2400, 21344, 192960, 1755520, 16026240, 146415104, 1339023360, 12242606080, 111999882240, 1024150052864, 9369857679360, 85682076221440, 783906124554240, 7168413301735424, 65584009257615360, 599732112759193600

Offset

1,1

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 100*a(n-2) - 1384*a(n-4) + 1440*a(n-6).

Empirical g.f.: 8*x*(35 + 300*x - 832*x^2 - 5880*x^3 + 1080*x^4 + 6480*x^5) / (1 - 100*x^2 + 1384*x^4 - 1440*x^6). - Colin Barker, Oct 15 2018

Example

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

Crossrefs

Column 1 of A234458.

Sequence in context: A233718 A272982 A234458 * A297510 A327948 A187384

Adjacent sequences: A234449 A234450 A234451 * A234453 A234454 A234455

Keyword

nonn

Author

R. H. Hardin, Dec 26 2013

Status

approved