A222099 Number of n X 3 0..5 arrays with entries increasing mod 6 by 0, 1, 2 or 3 rightwards and downwards, starting with upper left zero.

16, 530, 17694, 591476, 19776286, 661254950, 22110369320, 739304841874, 24720154977078, 826568484486164, 27637992729347366, 924132309919617038, 30900237030548459544, 1033212061004215656522, 34547539617728922860542

Offset

1,1

Comments

Column 3 of A222104.

Links

R. H. Hardin, Table of n, a(n) for n = 1..143

Formula

Empirical: a(n) = 42*a(n-1) - 302*a(n-2) + 521*a(n-3) + 114*a(n-4) - 144*a(n-5).

Empirical g.f.: 2*x*(8 - 71*x + 133*x^2 + 26*x^3 - 36*x^4) / (1 - 42*x + 302*x^2 - 521*x^3 - 114*x^4 + 144*x^5). - Colin Barker, Aug 15 2018

Example

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

Crossrefs

Cf. A222104.

Sequence in context: A227402 A371722 A263907 * A362520 A254126 A220729

Adjacent sequences: A222096 A222097 A222098 * A222100 A222101 A222102

Keyword

nonn

Author

R. H. Hardin, Feb 07 2013

Status

approved