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A223695 Petersen graph (8,2) coloring a rectangular array: number of 4Xn 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 antidiagonal neighbor moves along an edge of this graph 1
65536, 34992, 595584, 10817856, 223096320, 4777430544, 105181093728, 2349947152944, 52986541817952, 1201648395980448, 27349053878517120, 623834583118758144, 14249136041512493184, 325740124104297732288 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Row 4 of A223692
LINKS
FORMULA
Empirical: a(n) = 25*a(n-1) +166*a(n-2) -4762*a(n-3) -15242*a(n-4) +261578*a(n-5) +557344*a(n-6) -5966572*a(n-7) -10691953*a(n-8) +66155465*a(n-9) +113681634*a(n-10) -380763790*a(n-11) -672252588*a(n-12) +1143346268*a(n-13) +2171718000*a(n-14) -1723023332*a(n-15) -3753952336*a(n-16) +1173055984*a(n-17) +3382164960*a(n-18) -244043008*a(n-19) -1495422976*a(n-20) -17107712*a(n-21) +299094528*a(n-22) +3904512*a(n-23) -19066880*a(n-24) for n>27
EXAMPLE
Some solutions for n=3
.12.10.12...12.10.12...12.14.12....0..8.10....8.14..8....0..8..0....8.14..8
.12.10..2....2.10..8....6.14..6...14..8..0....8.14..8....0..7..6....8.14..6
..2..3..2...12.10..8....6..5..6...14..8.10....8..0..1....6.14.12....6..7.15
.11..3.11....8.10..8....6..5..4...10.12.10....8..0..7....8.10.12....6..7..6
CROSSREFS
Sequence in context: A188105 A188097 A223602 * A202939 A069277 A202932
KEYWORD
nonn
AUTHOR
R. H. Hardin Mar 25 2013
STATUS
approved

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Last modified February 21 13:52 EST 2024. Contains 370235 sequences. (Running on oeis4.)