|
| |
|
|
A223602
|
|
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, diagonal or antidiagonal neighbor moves along an edge of this graph
|
|
1
|
|
|
|
65536, 7424, 176224, 2372080, 43725920, 755683024, 13959069888, 258174966416, 4850832343904, 91505981537072, 1733729781877920, 32909491571349680, 625534833011886880, 11898376530083012208, 226422016143905134464
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
|
|
|
LINKS
|
|
|
|
FORMULA
|
Empirical: a(n) = 22*a(n-1) +146*a(n-2) -4241*a(n-3) -7021*a(n-4) +296069*a(n-5) +84524*a(n-6) -10098300*a(n-7) +2841988*a(n-8) +193753372*a(n-9) -109915280*a(n-10) -2243896688*a(n-11) +1623516032*a(n-12) +16219469440*a(n-13) -13091056384*a(n-14) -74162963712*a(n-15) +62602426368*a(n-16) +215343361024*a(n-17) -182965936128*a(n-18) -395412119552*a(n-19) +329698951168*a(n-20) +450438201344*a(n-21) -361766191104*a(n-22) -303199682560*a(n-23) +230835617792*a(n-24) +107843944448*a(n-25) -76487327744*a(n-26) -15032385536*a(n-27) +9663676416*a(n-28) for n>29
|
|
|
EXAMPLE
|
Some solutions for n=3
..0..8..0....1..2.10....8.14..8....8.14..8....8.10..8....8..0..1....5..4..3
..0..1..0....1..2..3....8..0..8....8.10..8...12.14..8....7..0..8....3..4..3
..0..1..0...10..2..3....7..0..7....8..0..8....6.14..6....7..0..8....5..4..5
..9..1..2....1..2..1....7..0..8....8..0..8...12.14.12....1..0..7....5.13..5
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
|
|
|
STATUS
|
approved
|
| |
|
|
