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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.

%I A188962 #7 Jul 22 2025 11:29:30
%S A188962 1,2,2,6,24,6,24,720,720,24,78,24024,229080,24024,78,230,570050,
%T A188962 75764664,75764664,570050,230,675,12702057,17316382188,251096032912,
%U A188962 17316382188,12702057,675,2069,298167456,3909049448304,573780546403024
%N A188962 T(n,k)=Number of nXk array permutations with each element moved by a city block distance of no more than three.
%C A188962 Table starts
%C A188962 ....1.........2.............6..............24..............78...........230
%C A188962 ....2........24...........720...........24024..........570050......12702057
%C A188962 ....6.......720........229080........75764664.....17316382188.3909049448304
%C A188962 ...24.....24024......75764664....251096032912.573780546403024
%C A188962 ...78....570050...17316382188.573780546403024
%C A188962 ..230..12702057.3909049448304
%C A188962 ..675.298167456
%C A188962 .2069
%H A188962 R. H. Hardin, <a href="/A188962/b188962.txt">Table of n, a(n) for n = 1..39</a>
%e A188962 Some solutions for 5X3
%e A188962 ..0..5..1....0..5..1....0..5..1....0..5..1....0..5..1....0..5..1....0..5..1
%e A188962 ..6..3.10....6..3.10....6..3.10....6..3..7....6..3..7....6..3..7....6..3..7
%e A188962 ..7..2.14...13..7.11....9.14..7....8..2.13...10..2.11....4.14..2...11.13..2
%e A188962 .11..4..9....8..4..2....8..4..2...14..4..9...13..8..4....8..9.10...14..4.10
%e A188962 .13..8.12...12.14..9...13.11.12...11.12.10...12.14..9...11.13.12...12..9..8
%Y A188962 Column 1 is A002526
%K A188962 nonn,tabl
%O A188962 1,2
%A A188962 _R. H. Hardin_ Apr 14 2011