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A264728 T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 4 and columns nondecreasing modulo 6. 4
1, 1, 1, 1, 2, 1, 1, 4, 3, 1, 2, 22, 48, 12, 1, 4, 154, 663, 474, 69, 1, 8, 931, 23096, 66528, 11552, 278, 2, 16, 14160, 1602048, 18761472, 12288000, 460672, 2524, 4, 48, 195952, 165778944 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

.1....1......1........1........2.......4.........8.....16.48

.1....2......4.......22......154.....931.....14160.195952

.1....3.....48......663....23096.1602048.165778944

.1...12....474....66528.18761472

.1...69..11552.12288000

.1..278.460672

.2.2524

.4

LINKS

Table of n, a(n) for n=1..39.

EXAMPLE

Some solutions for n=4 k=4

.12..2..6..7...12.13..1..9...12..1.14..2...12..0..1..9....0.13..2..7

..0..8..1.13....0..2..7..3....6..7.15..3...13..6..7..3...12..4..8.14

..9.14.10..3....6.14.10.15....0.13..9..5...10..2.14.15....6.10..3.15

..4..5.11.15....4..8..5.11....8..4.10.11....4..8..5.11....1..5..9.11

CROSSREFS

Column 1 is A264701.

Row 1 is A264635.

Sequence in context: A129705 A302654 A264831 * A306790 A332056 A074744

Adjacent sequences: A264725 A264726 A264727 * A264729 A264730 A264731

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 22 2015

STATUS

approved

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Last modified December 8 05:22 EST 2022. Contains 358672 sequences. (Running on oeis4.)