A235308 Number of (n+1) X (6+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).

12018, 18662, 27602, 49574, 83394, 168998, 319826, 711206, 1486338, 3544742, 8011922, 20148134, 48342594, 126648998, 317958866, 860180006, 2235976578, 6204457382, 16571892242, 46910749094, 128009555394, 368013490598

Offset

1,1

Links

R. H. Hardin, Table of n, a(n) for n = 1..171

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 4 2 5 1 4 0     2 5 1 5 0 5 0     4 0 3 0 3 0 4
  3 1 5 2 4 1 3     5 2 4 2 3 2 3     1 3 0 3 0 3 1
  0 4 2 5 1 4 0     2 5 1 5 0 5 0     5 1 4 1 4 1 5
  3 1 5 2 4 1 3     4 1 3 1 2 1 2     1 3 0 3 0 3 1
  0 4 2 5 1 4 0     2 5 1 5 0 5 0     4 0 3 0 3 0 4
  2 0 4 1 3 0 2     4 1 3 1 2 1 2     2 4 1 4 1 4 2

Crossrefs

Column 6 of A235310.

Sequence in context: A156713 A183059 A287046 * A064966 A292815 A252304

Adjacent sequences: A235305 A235306 A235307 * A235309 A235310 A235311

Keyword

nonn

Author

R. H. Hardin, Jan 05 2014

Status

approved