A183655 Number of (n+1) X 3 0..5 arrays with every 2 X 2 subblock summing to 10.

666, 2442, 9990, 43986, 204246, 987762, 4934070, 25308786, 132730326, 709335282, 3852616950, 21219113586, 118292970006, 666434422002, 3788953272630, 21712782262386, 125279753843286, 727120126151922, 4241619956725110

Offset

1,1

Comments

Column 2 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.: 6*x*(111 - 1924*x + 12543*x^2 - 37994*x^3 + 52584*x^4 - 25920*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 5 X 3:
..5..0..5....2..1..1....1..4..1....1..5..1....4..1..1....2..3..5....3..0..3
..5..0..5....3..4..4....0..5..0....3..1..3....2..3..5....4..1..1....5..2..5
..1..4..1....3..0..2....2..3..2....5..1..5....5..0..2....2..3..5....1..2..1
..1..4..1....4..3..5....2..3..2....0..4..0....1..4..4....5..0..2....4..3..4
..2..3..2....3..0..2....1..4..1....2..4..2....3..2..0....0..5..3....2..1..2

Crossrefs

Cf. A183662.

Sequence in context: A062045 A043515 A051003 * A104181 A221014 A057564

Adjacent sequences: A183652 A183653 A183654 * A183656 A183657 A183658

Keyword

nonn

Author

R. H. Hardin, Jan 06 2011

Status

approved