A234487 Number of (n+1) X (5+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant-stress 1 X 1 tilings).

14402, 51950, 187196, 677138, 2455350, 8928348, 32545706, 118945534, 435728940, 1600124066, 5889188814, 21725555324, 80316758842, 297580824166, 1104798114372, 4110348767602, 15322030940326, 57230791424428

Offset

1,1

Links

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

Formula

Empirical: a(n) = 21*a(n-1) -128*a(n-2) -301*a(n-3) +6470*a(n-4) -16377*a(n-5) -92720*a(n-6) +529264*a(n-7) +144134*a(n-8) -6281248*a(n-9) +8587390*a(n-10) +35733302*a(n-11) -92619285*a(n-12) -93289189*a(n-13) +447345822*a(n-14) +55762321*a(n-15) -1262355944*a(n-16) +278493999*a(n-17) +2300746886*a(n-18) -753516820*a(n-19) -2817152264*a(n-20) +837146044*a(n-21) +2311698968*a(n-22) -448826360*a(n-23) -1224869744*a(n-24) +85822528*a(n-25) +391294592*a(n-26) +16553184*a(n-27) -67375296*a(n-28) -8961408*a(n-29) +4757760*a(n-30) +967680*a(n-31).

Example

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

Crossrefs

Column 5 of A234490.

Sequence in context: A203729 A144649 A166371 * A234977 A250960 A238060

Adjacent sequences: A234484 A234485 A234486 * A234488 A234489 A234490

Keyword

nonn

Author

R. H. Hardin, Dec 26 2013

Status

approved