A183654 Number of (n+1) X 2 0..5 arrays with every 2 X 2 subblock summing to 10.

146, 666, 3254, 16626, 87686, 473586, 2605574, 14548626, 82214726, 469200306, 2699689094, 15639523026, 91117664966, 533396387826, 3134961847814, 18487156631826, 109327565518406, 648058794052146, 3849099302265734

Offset

1,1

Comments

Column 1 of A183662.

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n) = 21*a(n-1) - 175*a(n-2) + 735*a(n-3) - 1624*a(n-4) + 1764*a(n-5) - 720*a(n-6).

Empirical g.f.: 2*x*(73 - 1200*x + 7409*x^2 - 21234*x^3 + 27792*x^4 - 12960*x^5) / ((1 - x)*(1 - 2*x)*(1 - 3*x)*(1 - 4*x)*(1 - 5*x)*(1 - 6*x)). - Colin Barker, Apr 02 2018

Example

Some solutions for 3 X 2:
..1..5....3..5....2..5....2..5....3..2....0..5....0..4....4..1....1..4....4..4
..0..4....2..0....1..2....1..2....5..0....4..1....4..2....5..0....5..0....2..0
..4..2....3..5....4..3....5..2....4..1....2..3....2..2....3..2....0..5....3..5

Crossrefs

Cf. A183662.

Sequence in context: A158132 A043431 A183662 * A183653 A231243 A166219

Adjacent sequences: A183651 A183652 A183653 * A183655 A183656 A183657

Keyword

nonn

Author

R. H. Hardin, Jan 06 2011

Status

approved