A234226 Number of (n+1) X (7+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings).

582144, 1123724, 2264904, 5162984, 12178344, 31418264, 83324136, 236748824, 690049704, 2128516184, 6731960424, 22318060184, 75732130344, 266822847704, 958417428456, 3541285003544, 13272289633704, 50766360814424

Offset

1,1

Links

R. H. Hardin, Table of n, a(n) for n = 1..23

Formula

Empirical: a(n) = 10*a(n-1) +16*a(n-2) -460*a(n-3) +789*a(n-4) +7170*a(n-5) -23944*a(n-6) -39920*a(n-7) +246076*a(n-8) -38440*a(n-9) -1115136*a(n-10) +1151040*a(n-11) +2005056*a(n-12) -3657600*a(n-13) -331776*a(n-14) +3456000*a(n-15) -1658880*a(n-16).

Example

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

Crossrefs

Column 7 of A234227.

Sequence in context: A119402 A187374 A237209 * A190682 A231253 A212468

Adjacent sequences: A234223 A234224 A234225 * A234227 A234228 A234229

Keyword

nonn

Author

R. H. Hardin, Dec 21 2013

Status

approved