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A189350 Number of nX4 array permutations with each element moving one space diagonally, horizontally or vertically 1
1, 45, 557, 12592, 237297, 4791913, 94635005, 1883785285, 37399042560, 743166198493, 14763119513829, 293302192368977, 5826899299462793, 115761639593312944, 2299800733947890517, 45689485687194056453 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 4 of A189355

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

Empirical: a(n) = 8*a(n-1) +268*a(n-2) +100*a(n-3) -14506*a(n-4) -22855*a(n-5) +347444*a(n-6) +727264*a(n-7) -4361775*a(n-8) -10839894*a(n-9) +28941588*a(n-10) +87051904*a(n-11) -86750184*a(n-12) -379741329*a(n-13) +15880784*a(n-14) +854458520*a(n-15) +430764327*a(n-16) -969033120*a(n-17) -802207572*a(n-18) +802207572*a(n-19) +969033120*a(n-20) -430764327*a(n-21) -854458520*a(n-22) -15880784*a(n-23) +379741329*a(n-24) +86750184*a(n-25) -87051904*a(n-26) -28941588*a(n-27) +10839894*a(n-28) +4361775*a(n-29) -727264*a(n-30) -347444*a(n-31) +22855*a(n-32) +14506*a(n-33) -100*a(n-34) -268*a(n-35) -8*a(n-36) +a(n-37)

EXAMPLE

Some solutions for 3X4

..4..0..3..7....4..5..3..7....4..2..3..7....5..6..1..2....4..2..3..7

..8..1..5..2....0..6..1..2....5..0..1.11....0..9.10..3....0.10..1.11

..9.10.11..6....9..8.11.10....9..8..6.10....4..8.11..7....9..8..5..6

CROSSREFS

Sequence in context: A027783 A160837 A160838 * A090024 A282767 A160234

Adjacent sequences:  A189347 A189348 A189349 * A189351 A189352 A189353

KEYWORD

nonn

AUTHOR

R. H. Hardin Apr 20 2011

STATUS

approved

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Last modified November 19 03:59 EST 2017. Contains 294912 sequences.