A223601 - OEIS

A223601

Petersen graph (8,2) coloring a rectangular array: number of 3Xn 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, diagonal or antidiagonal neighbor moves along an edge of this graph

4096, 1376, 16192, 122608, 1124064, 9902320, 90390720, 827854448, 7658651360, 71165672752, 663933249024, 6209221918896, 58174002355232, 545677201489648, 5122736643803840, 48118345117470448, 452153378054341216

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Row 3 of A223599

LINKS

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

FORMULA

Empirical: a(n) = 13*a(n-1) +3*a(n-2) -437*a(n-3) +544*a(n-4) +3614*a(n-5) -6064*a(n-6) -6480*a(n-7) +14240*a(n-8) -416*a(n-9) -7296*a(n-10) +2304*a(n-11) for n>12

EXAMPLE

Some solutions for n=3

..7.15..9...10.12.14....5..6.14...12.14.12....6..7..0...13.15.13....7..0..8

.13.15.13...14.12.14....7..6..5...12..4.12...15..7..6...13.15..7....1..0..7

.13.11..9...14.12.14...14..6.14...12.14.12...15..7..6....7.15..9....1..0..7

CROSSREFS

Sequence in context: A182686 A369823 A176768 * A186490 A223694 A186489

Adjacent sequences: A223598 A223599 A223600 * A223602 A223603 A223604

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 23 2013

STATUS

approved