A235095 Number of (n+1) X (5+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

8184, 13624, 23792, 48844, 102336, 238060, 556560, 1391140, 3490704, 9185772, 24324016, 66878228, 185310144, 529799468, 1525904288, 4511424324, 13411807392, 40740353404, 124118467856, 384838123972, 1193707380432, 3756359968492

Offset

1,1

Links

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

Formula

Empirical: a(n) = 9*a(n-1) +6*a(n-2) -279*a(n-3) +514*a(n-4) +3213*a(n-5) -10656*a(n-6) -15267*a(n-7) +92760*a(n-8) +195*a(n-9) -435144*a(n-10) +318243*a(n-11) +1151658*a(n-12) -1467393*a(n-13) -1629840*a(n-14) +3140943*a(n-15) +944545*a(n-16) -3513288*a(n-17) +172122*a(n-18) +2004312*a(n-19) -330148*a(n-20) -568464*a(n-21) +76440*a(n-22) +65520*a(n-23).

Example

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

Crossrefs

Column 5 of A235098.

Sequence in context: A014885 A252217 A351448 * A283954 A250939 A137385

Adjacent sequences: A235092 A235093 A235094 * A235096 A235097 A235098

Keyword

nonn

Author

R. H. Hardin, Jan 03 2014

Status

approved