A234146 Number of (n+1) X (1+1) 0..5 arrays with every 2 X 2 subblock having the sum of the absolute values of the edge differences equal to 10 and no adjacent elements equal.

184, 1264, 8752, 62004, 439572, 3129240, 22275612, 158687156, 1130414100, 8053620640, 57377216736, 408788140012, 2912431493704, 20749855456308, 147833924812756, 1053254915776492, 7503999725717600, 53462860382183344

Offset

1,1

Links

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

Formula

Empirical: a(n) = 6*a(n-1) + 25*a(n-2) - 105*a(n-3) - 192*a(n-4) + 494*a(n-5) + 478*a(n-6) - 322*a(n-7) - 204*a(n-8).

Empirical g.f.: 4*x*(46 + 40*x - 858*x^2 - 697*x^3 + 4199*x^4 + 3115*x^5 - 2673*x^6 - 1530*x^7) / ((1 - 6*x - 25*x^2 + 105*x^3 + 192*x^4 - 494*x^5 - 478*x^6 + 322*x^7 + 204*x^8)). - Colin Barker, Oct 13 2018

Example

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

Crossrefs

Column 1 of A234152.

Sequence in context: A235251 A233676 A234152 * A164997 A121733 A235250

Adjacent sequences: A234143 A234144 A234145 * A234147 A234148 A234149

Keyword

nonn

Author

R. H. Hardin, Dec 20 2013

Status

approved