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A189280 T(n,k)=Number of nXk array permutations with each element not moved or moved diagonally or antidiagonally by one 8
1, 1, 1, 1, 4, 1, 1, 9, 9, 1, 1, 25, 45, 25, 1, 1, 64, 225, 225, 64, 1, 1, 169, 1125, 2704, 1125, 169, 1, 1, 441, 5625, 29241, 29241, 5625, 441, 1, 1, 1156, 28125, 323761, 670480, 323761, 28125, 1156, 1, 1, 3025, 140625, 3553225, 15594601, 15594601, 3553225 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

.1....1.......1..........1.............1................1...................1

.1....4.......9.........25............64..............169.................441

.1....9......45........225..........1125.............5625...............28125

.1...25.....225.......2704.........29241...........323761.............3553225

.1...64....1125......29241........670480.........15594601...........361199937

.1..169....5625.....323761......15594601........787195249.........39085685401

.1..441...28125....3553225.....361199937......39085685401.......4145792570105

.1.1156..140625...39100009....8366395024....1949419118656.....441979857682489

.1.3025..703125..429981696..193788877917...97069135502689...47045498167288233

.1.7921.3515625.4729725529.4488512569321.4835817858602025.5009341586507664025

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..180

EXAMPLE

Some solutions for 5X3

..0..5..4....0..5..2....0..5..2....0..3..2....0..1..4....0..1..2....0..5..4

..3..2..1....3..6..1....3..8..1....1..6..5....3..2..5....7..4..5....3..2..1

..6.11..8....4..9..8...10.11..4....4..9..8...10.11..8....6..3.10....6.11..8

..7.14.13....7.14.13....7..6.13....7.10.13....9..6..7...13..8.11....9.10..7

.12..9.10...12.11.10...12..9.14...12.11.14...12.13.14...12..9.14...12.13.14

CROSSREFS

Sequence in context: A146955 A155451 A220681 * A168621 A039756 A126065

Adjacent sequences:  A189277 A189278 A189279 * A189281 A189282 A189283

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Apr 19 2011

STATUS

approved

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Last modified May 13 23:41 EDT 2021. Contains 343868 sequences. (Running on oeis4.)