A223434
Generalized Petersen graph (8,2) coloring a rectangular array: number of n X 2 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.
Original entry on oeis.org
48, 256, 1376, 7424, 40160, 217600, 1180256, 6405888, 34782688, 188912640, 1026197344, 5575016704, 30289360608, 164570543616, 894181114976, 4858543170304, 26399224399840, 143442922485760, 779415220762976
Offset: 1
Some solutions for n=3:
..6..5....8..0....3..4...11.13....7..0...11.13....9..1....1..0....1..9....1..9
.14..6....0..7....2..3...13.15...15..7...13.15....1..2....0..1....2..1....9.11
..8.14....8..0....3..2...15.13....9.15...15..7....2..3....1..2....3..2....1..9
A223435
Generalized Petersen graph (8,2) coloring a rectangular array: number of nX3 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.
Original entry on oeis.org
144, 1376, 14112, 147520, 1562176, 16693920, 179532768, 1939216640, 21008925952, 228065409888, 2479179661472, 26974655289536, 293678536506304, 3198664399776288, 34848651790913888, 379738193353123456
Offset: 1
Some solutions for n=3
.13.11.13....9.11..9...12..4..5....9.15.13....6..5.13....5..6.14....6..5..6
.15..9.11....1..9..1....4..3..4...15..9.11....7..6..5....6.14.12....5..6..7
.13.11.13....0..1..2....5..4.12....9.15.13....0..7..6...14.12.14....6.14..6
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.
Original entry on oeis.org
432, 7424, 147520, 3099264, 67182208, 1485628224, 33277934848, 751557814208, 17060996532992, 388541047749184, 8866017102928512, 202557753134780608, 4631201059795429632, 105934451744168513600, 2423832070620348866432
Offset: 1
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
A223437
Generalized Petersen graph (8,2) coloring a rectangular array: number of nX5 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.
Original entry on oeis.org
1296, 40160, 1562176, 67182208, 3049973040, 142702806112, 6790055219264, 326095786136512, 15740601974728144, 761894144429277728, 36933075864379992960, 1791784217341289032832, 86964938378374308543408
Offset: 1
Some solutions for n=3
.14.12.14.12.10...14..8..0..7..0...14..8.10.12..4...10.12.10.12.14
..8.14..8.14..8....8..0..7.15..7....6.14..8.14.12....2.10..2.10..8
..0..8.14..8..0....0..7.15..7..6...14..8.14.12..4...10.12.10..2.10
A223438
Generalized Petersen graph (8,2) coloring a rectangular array: number of nX6 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.
Original entry on oeis.org
3888, 217600, 16693920, 1485628224, 142702806112, 14233389951648, 1445484467129440, 148051853028192512, 15224711042202343552, 1568546471897589578240, 161743493137179916579328
Offset: 1
Some solutions for n=3
..8.10.12.10..2.10....8.10..8.14.12..4....8.10..8..0..7..0....8..0..8.14..8..0
..0..8.10..2..1..2....0..8.10.12.14.12....0..8.10..8..0..7....0..8.10..8.10..8
..8.14..8.10..2..1....8.10.12.10.12.10....8..0..8..0..8..0....8..0..8.14.12.10
A223439
Generalized Petersen graph (8,2) coloring a rectangular array: number of nX7 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.
Original entry on oeis.org
11664, 1180256, 179532768, 33277934848, 6790055219264, 1445484467129440, 313233804577725904, 68373044838570536416, 14968850924351337707600, 3281073242585313313486816, 719543293998612435740651440
Offset: 1
Some solutions for n=3
..8..0..8.14..8.14..8....8..0..8.14.12.10.12....8..0..8.10.12.14..8
..0..8.14..8.10..8.10....0..8.14..8.10.12.14....0..8.10..8.14.12.10
..8..0..8..0..8.10..2....8..0..8.10..8.10..8....8..0..8.14.12.10..8
A223433
Generalized Petersen graph (8,2) coloring a rectangular array: number of n X n 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.
Original entry on oeis.org
16, 256, 14112, 3099264, 3049973040, 14233389951648, 313233804577725904, 31773869927610747929664, 14659288101904896523559420400, 30618348337161405692150233995935392
Offset: 1
Some solutions for n=3
..6..7.15...15.13.11....4..5..6....3..4..5....4.12..4...10..8.10...15.13.11
..7..0..7...13.15..9....5..6..7....4..5..4....5..4..5...12.10..8...13.11.13
..6..7..0...15..9.11....6..7..6....5..6..5....4..5.13....4.12.14...15..9.15
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