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 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. 1
 432, 7424, 147520, 3099264, 67182208, 1485628224, 33277934848, 751557814208, 17060996532992, 388541047749184, 8866017102928512, 202557753134780608, 4631201059795429632, 105934451744168513600, 2423832070620348866432 (list; graph; refs; listen; history; text; internal format)
 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

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Last modified February 22 13:38 EST 2024. Contains 370256 sequences. (Running on oeis4.)