A234224 Number of (n+1) X (5+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).

32384, 76972, 188040, 503272, 1379816, 4055128, 12178344, 38671960, 125308904, 425135512, 1469047080, 5270085592, 19196627816, 72039007768, 273444136104, 1062448914520, 4159847890664, 16591856007832, 66478192455720

Offset

1,1

Links

R. H. Hardin, Table of n, a(n) for n = 1..108

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=3:
  0 3 0 0 4 1    2 2 2 1 2 1    0 2 1 1 0 0    0 1 1 0 3 4
  0 0 0 3 4 4    1 4 1 3 1 3    3 2 4 1 3 0    3 1 4 0 0 4
  0 3 0 0 4 1    1 1 1 0 1 0    2 4 3 3 2 2    3 4 4 3 0 1
  0 0 0 3 4 4    0 3 0 2 0 2    3 2 4 1 3 0    0 4 1 3 3 1

Crossrefs

Column 5 of A234227.

Sequence in context: A251875 A156038 A156048 * A190471 A236994 A156421

Adjacent sequences: A234221 A234222 A234223 * A234225 A234226 A234227

Keyword

nonn

Author

R. H. Hardin, Dec 21 2013

Status

approved