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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. 4

%I

%S 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 142096,17869,201,1,72,52524,6680669,50750671,19492778,530230,1331,2,

%U 216,1041936,731477306

%N 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 Table starts

%C .1....1......1........2........4.......8........24......72.216

%C .1....1......8.......44......348....3946.....52524.1041936

%C .1....4.....59.....1644....83599.6680669.731477306

%C .1...14....743...142096.50750671

%C .1...47..17869.19492778

%C .1..201.530230

%C .1.1331

%C .2

%e Some solutions for n=4 k=4

%e ..0.15..7..8....0..7..1.11....7.14..2..8....9..0.10..7....0.15..7..1

%e .10..2.14.11...14..2..8..5....0.15.12..1....3.15.11.14...10..2.14..8

%e ..3..9..1..5...15..9..3.12....3..9..6.11...12..2..5..8...12..9..4.11

%e .12..6..4.13....6..4.10.13....4.10.13..5....6..4.13..1....6..3.13..5

%Y Column 1 is A264791.

%Y Row 1 is A264557.

%K nonn,tabl

%O 1,7

%A _R. H. Hardin_, Nov 25 2015

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Last modified January 17 15:20 EST 2022. Contains 350402 sequences. (Running on oeis4.)