A235295 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 3 (constant-stress 1 X 1 tilings).

1888, 2556, 3536, 5784, 9568, 18624, 35936, 79728, 172288, 420816, 983456, 2575824, 6335488, 17408784, 44189216, 125260368, 323970688, 936469776, 2449052576, 7166397264, 18866545408, 55638307344, 147078545696, 435949117008

Offset

1,1

Comments

Column 5 of A235301.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +17*a(n-2) -57*a(n-3) -86*a(n-4) +372*a(n-5) +76*a(n-6) -972*a(n-7) +360*a(n-8) +864*a(n-9) -576*a(n-10).

Example

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

Crossrefs

Sequence in context: A236613 A190133 A029564 * A237540 A206746 A106764

Adjacent sequences: A235292 A235293 A235294 * A235296 A235297 A235298

Keyword

nonn

Author

R. H. Hardin, Jan 05 2014

Status

approved