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A263442 T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with each element moved a city block distance of 0 or 3.

%I A263442 #3 Oct 18 2015 11:03:00
%S A263442 1,1,1,1,1,1,2,4,4,2,4,25,49,25,4,8,125,1770,1770,125,8,12,633,52352,
%T A263442 560436,52352,633,12,18,2532,1095488,96348384,96348384,1095488,2532,
%U A263442 18,27,10288,20725780,10716259649
%N A263442 T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with each element moved a city block distance of 0 or 3.
%C A263442 Table starts
%C A263442 ..1....1.......1........2........4...........8.......12....18.27
%C A263442 ..1....1.......4.......25......125.........633.....2532.10288
%C A263442 ..1....4......49.....1770....52352.....1095488.20725780
%C A263442 ..2...25....1770...560436.96348384.10716259649
%C A263442 ..4..125...52352.96348384
%C A263442 ..8..633.1095488
%C A263442 .12.2532
%C A263442 .18
%F A263442 Empirical for column k:
%F A263442 k=1: a(n) = a(n-1) +a(n-2) -a(n-3) +a(n-4) +a(n-5) +a(n-6) -a(n-7) -a(n-8)
%e A263442 Some solutions for n=3 k=4
%e A263442 ..9.10..2..5....6..1..9.10....0..7..4..3....6..7..9..3....0..1.11.10
%e A263442 ..4..3..8..7....4..5..0..7...10..5..6..9...10.11..0..1....4..5..8..7
%e A263442 ..6..0..1.11....8..2..3.11...11..2..1..8....8..2..4..5....6..9..3..2
%Y A263442 Column 1 is A006500(n-3).
%K A263442 nonn,tabl
%O A263442 1,7
%A A263442 _R. H. Hardin_, Oct 18 2015