A183656 Number of (n+1) X 4 0..5 arrays with every 2 X 2 subblock summing to 10.

3254, 9990, 35162, 135966, 563114, 2458590, 11196842, 52793406, 256308074, 1275989790, 6492865322, 33682946046, 177764461034, 952702906590, 5176836594602, 28481036093886, 158444359333994, 890260394424990

Offset

1,1

Comments

Column 3 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*(1627 - 29172*x + 197411*x^2 - 622938*x^3 + 901512*x^4 - 466560*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 4:
..2..4..2..5....3..3..4..1....2..4..1..4....1..3..1..4....2..3..1..5
..2..2..2..1....4..0..3..2....2..2..3..2....1..5..1..4....2..3..3..1
..3..3..3..4....1..5..2..3....4..2..3..2....3..1..3..2....2..3..1..5

Crossrefs

Cf. A183662.

Sequence in context: A031735 A144936 A164077 * A043606 A135134 A137836

Adjacent sequences: A183653 A183654 A183655 * A183657 A183658 A183659

Keyword

nonn

Author

R. H. Hardin, Jan 06 2011

Status

approved