cp's OEIS Frontend

A264818 T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 3 and columns nondecreasing modulo 7.

%I A264818 #3 Nov 25 2015 21:47:03
%S A264818 1,1,1,1,1,1,2,8,4,1,4,44,59,14,1,8,348,1644,743,47,1,24,3946,83599,
%T A264818 142096,17869,201,1,72,52524,6680669,50750671,19492778,530230,1331,2,
%U A264818 216,1041936,731477306
%N A264818 T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 3 and columns nondecreasing modulo 7.
%C A264818 Table starts
%C A264818 .1....1......1........2........4.......8........24......72.216
%C A264818 .1....1......8.......44......348....3946.....52524.1041936
%C A264818 .1....4.....59.....1644....83599.6680669.731477306
%C A264818 .1...14....743...142096.50750671
%C A264818 .1...47..17869.19492778
%C A264818 .1..201.530230
%C A264818 .1.1331
%C A264818 .2
%e A264818 Some solutions for n=4 k=4
%e A264818 ..0.15..7..8....0..7..1.11....7.14..2..8....9..0.10..7....0.15..7..1
%e A264818 .10..2.14.11...14..2..8..5....0.15.12..1....3.15.11.14...10..2.14..8
%e A264818 ..3..9..1..5...15..9..3.12....3..9..6.11...12..2..5..8...12..9..4.11
%e A264818 .12..6..4.13....6..4.10.13....4.10.13..5....6..4.13..1....6..3.13..5
%Y A264818 Column 1 is A264791.
%Y A264818 Row 1 is A264557.
%K A264818 nonn,tabl
%O A264818 1,7
%A A264818 _R. H. Hardin_, Nov 25 2015