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A189355 T(n,k)=Number of nXk array permutations with each element moving one space diagonally, horizontally or vertically 9

%I

%S 0,1,1,0,4,0,1,13,13,1,0,45,48,45,0,1,160,557,557,160,1,0,565,3632,

%T 12592,3632,565,0,1,2005,30769,237297,237297,30769,2005,1,0,7108,

%U 229248,4791913,10252800,4791913,229248,7108,0,1,25209,1815601,94635005

%N T(n,k)=Number of nXk array permutations with each element moving one space diagonally, horizontally or vertically

%C Table starts

%C .0.....1.........0............1................0....................1

%C .1.....4........13...........45..............160..................565

%C .0....13........48..........557.............3632................30769

%C .1....45.......557........12592...........237297..............4791913

%C .0...160......3632.......237297.........10252800............519621497

%C .1...565.....30769......4791913........519621497..........64731638400

%C .0..2005....229248.....94635005......24728774144........7675175968337

%C .1..7108...1815601...1883785285....1206541811872......927311536349401

%C .0.25209..13960720..37399042560...58289324009008...111267210412798665

%C .1.89401.108880333.743166198493.2827118724742121.13385995390731369181

%H R. H. Hardin, <a href="/A189355/b189355.txt">Table of n, a(n) for n = 1..144</a>

%e Some solutions for 5X3

%e ..1..0..5....4..5..1....4..0..5....4..5..1....3..5..1....1..2..5....3..2..5

%e ..6..3..2....7..0..2....6..1..2....0..8..2....0..8..2....0..7..8....0..1..4

%e ..7..8..4....3..6.11....3..8..7....3..6..7....9..4..7...10..3..4....9..8..7

%e .12.11.10...10.14..8...12.11.14...13.14.10...12..6.14...13..6.14...12..6.10

%e ..9.14.13....9.12.13...13..9.10....9.12.11...13.10.11....9.12.11...13.14.11

%K nonn,tabl

%O 1,5

%A _R. H. Hardin_ Apr 20 2011

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Last modified May 10 21:08 EDT 2021. Contains 343780 sequences. (Running on oeis4.)