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A188962 T(n,k)=Number of nXk array permutations with each element moved by a city block distance of no more than three 4

%I

%S 1,2,2,6,24,6,24,720,720,24,78,24024,229080,24024,78,230,570050,

%T 75764664,75764664,570050,230,675,12702057,17316382188,251096032912,

%U 17316382188,12702057,675,2069,298167456,3909049448304,573780546403024

%N T(n,k)=Number of nXk array permutations with each element moved by a city block distance of no more than three

%C Table starts

%C ....1.........2.............6..............24..............78...........230

%C ....2........24...........720...........24024..........570050......12702057

%C ....6.......720........229080........75764664.....17316382188.3909049448304

%C ...24.....24024......75764664....251096032912.573780546403024

%C ...78....570050...17316382188.573780546403024

%C ..230..12702057.3909049448304

%C ..675.298167456

%C .2069

%H R. H. Hardin, <a href="/A188962/b188962.txt">Table of n, a(n) for n = 1..39</a>

%e Some solutions for 5X3

%e ..0..5..1....0..5..1....0..5..1....0..5..1....0..5..1....0..5..1....0..5..1

%e ..6..3.10....6..3.10....6..3.10....6..3..7....6..3..7....6..3..7....6..3..7

%e ..7..2.14...13..7.11....9.14..7....8..2.13...10..2.11....4.14..2...11.13..2

%e .11..4..9....8..4..2....8..4..2...14..4..9...13..8..4....8..9.10...14..4.10

%e .13..8.12...12.14..9...13.11.12...11.12.10...12.14..9...11.13.12...12..9..8

%Y Column 1 is A002526

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Apr 14 2011

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Last modified October 1 00:05 EDT 2022. Contains 357111 sequences. (Running on oeis4.)