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A223553 Petersen graph (3,1) coloring a rectangular array: number of n X 5 0..5 arrays where 0..5 label nodes of a graph with edges 0,1 0,3 3,5 3,4 1,2 1,4 4,5 2,0 2,5 and every array movement to a horizontal or antidiagonal neighbor moves along an edge of this graph, with the array starting at 0. 1
81, 6939, 609309, 53599905, 4715559621, 414863325945, 36498667573629, 3211064180380305, 282501632829717621, 24853807982558115945, 2186577702401491603629, 192369799106697718450305 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A223556.

LINKS

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

FORMULA

Empirical: a(n) = 95*a(n-1) - 626*a(n-2) + 720*a(n-3) for n>4.

Empirical g.f.: 9*x*(9 - 84*x + 90*x^2 + 116*x^3) / (1 - 95*x + 626*x^2 - 720*x^3). - Colin Barker, Aug 21 2018

EXAMPLE

Some solutions for n=3:

..0..2..5..3..0....0..1..0..1..4....0..2..1..4..5....0..2..0..3..0

..0..2..5..2..1....0..1..2..5..3....0..2..1..4..1....0..2..0..2..5

..1..4..1..2..1....2..1..2..0..1....1..4..1..2..0....1..2..1..2..0

CROSSREFS

Cf. A223556.

Sequence in context: A183506 A099372 A036515 * A185770 A222441 A206216

Adjacent sequences:  A223550 A223551 A223552 * A223554 A223555 A223556

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 22 2013

STATUS

approved

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Last modified June 3 22:20 EDT 2020. Contains 334804 sequences. (Running on oeis4.)