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A188966 T(n,k)=Number of nXk array permutations with each element moved and moved by a city block distance of no more than three.

%I A188966 #7 Jul 22 2025 11:29:57
%S A188966 0,1,1,2,9,2,9,265,265,9,24,8132,78976,8132,24,57,154564,22666641,
%T A188966 22666641,154564,57,140,2790864,4064659324,62394485617,4064659324,
%U A188966 2790864,140,376,55327556,741295637637,109564294856817,109564294856817
%N A188966 T(n,k)=Number of nXk array permutations with each element moved and moved by a city block distance of no more than three.
%C A188966 Table starts
%C A188966 ...0........1............2...............9..............24...........57
%C A188966 ...1........9..........265............8132..........154564......2790864
%C A188966 ...2......265........78976........22666641......4064659324.741295637637
%C A188966 ...9.....8132.....22666641.....62394485617.109564294856817
%C A188966 ..24...154564...4064659324.109564294856817
%C A188966 ..57..2790864.741295637637
%C A188966 .140.55327556
%C A188966 .376
%H A188966 R. H. Hardin, <a href="/A188966/b188966.txt">Table of n, a(n) for n = 1..39</a>
%e A188966 Some solutions for 5X3
%e A188966 ..1..0..3....1..0..3....1..0..3....1..0..3....1..0..3....1..0..3....1..0..3
%e A188966 ..2..7..6....2..7..8....2..7..6....2..7..8....2..7..8....2..7..8....2..7..8
%e A188966 ..8..5.13....4.14.10....8.14..5....9..6..5...12..4.13....4..9.13....5.10..4
%e A188966 .14.12..4...13..5..6...13.11..4...13.14..4....6..9.14...11.14..5...12..9..6
%e A188966 .10..9.11....9.11.12...10.12..9...10.12.11...11.10..5...10..6.12...11.14.13
%Y A188966 Column 1 is A079997
%K A188966 nonn,tabl
%O A188966 1,4
%A A188966 _R. H. Hardin_ Apr 14 2011