A235306 Number of (n+1) X (4+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).

1554, 2918, 5042, 10790, 21090, 49574, 107186, 269222, 629154, 1656998, 4101362, 11181350, 28857570, 80708774, 214757426, 612173222, 1666192674, 4817289638, 13336967282, 38965654310, 109297879650, 321784561574, 911836050866

Offset

1,1

Links

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

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

Crossrefs

Column 4 of A235310.

Sequence in context: A252046 A252045 A184683 * A203501 A229434 A022222

Adjacent sequences: A235303 A235304 A235305 * A235307 A235308 A235309

Keyword

nonn

Author

R. H. Hardin, Jan 05 2014

Status

approved