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A264701 Number of n X 1 arrays of permutations of 0..n-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 6. 6
1, 1, 1, 1, 1, 1, 2, 4, 8, 16, 32, 64, 192, 576, 1728, 5184, 15552, 46656, 186624, 746496, 2985984, 11943936, 47775744, 191102976, 955514880, 4777574400, 23887872000, 119439360000, 597196800000, 2985984000000, 17915904000000, 107495424000000, 644972544000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,7

COMMENTS

Column 1 of A264704.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..84

FORMULA

a(n) = Product_{i=0..5} floor((n+i)/6)!. - Alois P. Heinz, Jul 12 2016

EXAMPLE

All solutions for n=8

..6....6....0....0

..0....0....6....6

..7....1....1....7

..1....7....7....1

..2....2....2....2

..3....3....3....3

..4....4....4....4

..5....5....5....5

CROSSREFS

Cf. A264704.

Column k=6 of A275062.

Sequence in context: A006211 A180209 A275073 * A195904 A101333 A023421

Adjacent sequences:  A264698 A264699 A264700 * A264702 A264703 A264704

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 21 2015

STATUS

approved

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Last modified February 22 21:02 EST 2018. Contains 299469 sequences. (Running on oeis4.)