A234453 Number of (n+1) X (2+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1 (constant-stress 1 X 1 tilings).

2400, 31112, 427956, 6049248, 86545688, 1246417268, 17999990956, 260509952008, 3772324919216, 54683798470992, 792660439569184, 11498882870642596, 166774556604227496, 2420540967413065532, 35121760962460304188

Offset

1,1

Links

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

Formula

Empirical: a(n) = 24*a(n-1) +202*a(n-2) -8375*a(n-3) +18366*a(n-4) +832456*a(n-5) -4372543*a(n-6) -32845569*a(n-7) +252119346*a(n-8) +475222218*a(n-9) -6386106484*a(n-10) +1228195800*a(n-11) +78155524488*a(n-12) -93005666672*a(n-13) -459032184864*a(n-14) +814396694400*a(n-15) +1253941668864*a(n-16) -2968493257344*a(n-17) -1338994735872*a(n-18) +5126543725056*a(n-19) -147546633728*a(n-20) -4053307347968*a(n-21) +1013644265472*a(n-22) +1200673271808*a(n-23) -333045153792*a(n-24) -113446158336*a(n-25) +22613852160*a(n-26).

Example

Some solutions for n=2:
  0 3 2   1 1 0   3 2 1   4 3 2   2 2 2   4 5 1   1 0 1
  0 2 2   1 2 2   4 2 2   5 3 1   3 2 3   2 4 1   5 3 5
  3 4 3   3 5 4   4 3 4   5 4 3   5 5 5   1 2 0   1 0 3

Crossrefs

Column 2 of A234458.

Sequence in context: A204357 A043420 A233880 * A236084 A204304 A235414

Adjacent sequences: A234450 A234451 A234452 * A234454 A234455 A234456

Keyword

nonn

Author

R. H. Hardin, Dec 26 2013

Status

approved