A183648 Number of (n+1) X 6 0..4 arrays with every 2 X 2 subblock summing to 8.

25405, 50125, 116653, 307525, 889525, 2764525, 9103453, 31446805, 113099845, 421059325, 1615331053, 6363378085, 25670138965, 105816160525, 444967075453, 1906187885365, 8309240278885, 36817014596125, 165639030032653

Offset

1,1

Comments

Column 5 of A183652.

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Formula

Empirical: a(n) = 15*a(n-1) - 85*a(n-2) + 225*a(n-3) - 274*a(n-4) + 120*a(n-5).

Empirical g.f.: x*(25405 - 330950*x + 1524203*x^2 - 2897770*x^3 + 1875000*x^4) / ((1 - x)*(1 - 2*x)*(1 - 3*x)*(1 - 4*x)*(1 - 5*x)). - Colin Barker, Apr 01 2018

Example

Some solutions for 3 X 6:
  4 4 1 1 1 1    2 0 0 2 2 3    4 4 2 1 0 1    2 3 0 2 1 1
  0 0 3 3 3 3    2 4 4 2 2 1    0 0 2 3 4 3    1 2 3 3 2 4
  4 4 1 1 1 1    2 0 0 2 2 3    4 4 2 1 0 1    2 3 0 2 1 1

Crossrefs

Cf. A183652.

Sequence in context: A175741 A203090 A251227 * A339673 A324635 A242141

Adjacent sequences: A183645 A183646 A183647 * A183649 A183650 A183651

Keyword

nonn

Author

R. H. Hardin, Jan 06 2011

Status

approved