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A189312 T(n,k)=Number of nXk array permutations with each element moving zero or one space diagonally, horizontally or vertically 9
1, 2, 2, 3, 14, 3, 5, 73, 73, 5, 8, 400, 960, 400, 8, 13, 2177, 14714, 14714, 2177, 13, 21, 11854, 216708, 654049, 216708, 11854, 21, 34, 64554, 3224934, 27850597, 27850597, 3224934, 64554, 34, 55, 351521, 47862876, 1198076276, 3373180708, 1198076276 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

..1........2............3................5....................8

..2.......14...........73..............400.................2177

..3.......73..........960............14714...............216708

..5......400........14714...........654049.............27850597

..8.....2177.......216708.........27850597...........3373180708

.13....11854......3224934.......1198076276.........415003748241

.21....64554.....47862876......51426223446.......50887086987153

.34...351521....710856569....2208514085834.....6245362716915409

.55..1914208..10555661105...94835559790076...766353972986446648

.89.10423761.156750811549.4072414321238637.94042354890961935736

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..144

EXAMPLE

Some solutions for 5X3

..0..1..5....0..2..1....1..0..2....0..5..1....0..1..2....0..1..2....0..1..2

..4..3..2....3..8..5....7..5..8....3..4..2....4..3..8....3..4..8....3..5..4

.10..7..8...10..4..7....3.10..4....9..7.11....6.11..5....7..6..5....7..6..8

..6..9.14....9..6.11....6.13.14...10..6..8...13..7.14...10..9.14...13.10.14

.13.12.11...12.14.13....9.12.11...13.12.14...12..9.10...13.12.11...12..9.11

CROSSREFS

Column 1 is A000045(n+1)

Sequence in context: A019515 A094352 A073828 * A275565 A275090 A274983

Adjacent sequences:  A189309 A189310 A189311 * A189313 A189314 A189315

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Apr 19 2011

STATUS

approved

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Last modified August 18 08:57 EDT 2019. Contains 326077 sequences. (Running on oeis4.)