A223436 Generalized Petersen graph (8,2) coloring a rectangular array: number of n X 4 0..15 arrays where 0..15 label nodes of a graph with edges 0,1 0,8 8,14 8,10 1,2 1,9 9,15 9,11 2,3 2,10 10,12 3,4 3,11 11,13 4,5 4,12 12,14 5,6 5,13 13,15 6,7 6,14 7,0 7,15 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph.

432, 7424, 147520, 3099264, 67182208, 1485628224, 33277934848, 751557814208, 17060996532992, 388541047749184, 8866017102928512, 202557753134780608, 4631201059795429632, 105934451744168513600, 2423832070620348866432

Offset

1,1

Comments

Column 4 of A223440.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 37*a(n-1) -272*a(n-2) -2014*a(n-3) +20537*a(n-4) -19463*a(n-5) -166878*a(n-6) +279708*a(n-7) +430814*a(n-8) -869500*a(n-9) -281352*a(n-10) +853376*a(n-11) -53696*a(n-12) -245568*a(n-13) +62720*a(n-14).

Example

Some solutions for n=3
..8..0..8.14....7..6..7..0....4.12..4..3....6..7..6..5...14..8.10.12
.14..8..0..8....6..7.15..7....5..4..5..4....5..6..7..6....8.14..8.10
.12.14..8..0....7.15..9.15....4.12..4..5....6.14..6..5...10.12.10..2

Crossrefs

Cf. A223440.

Sequence in context: A234400 A236279 A223595 * A230922 A109123 A223688

Adjacent sequences: A223433 A223434 A223435 * A223437 A223438 A223439

Keyword

nonn

Author

R. H. Hardin, Mar 20 2013

Status

approved