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A264656 Number of n X 1 arrays of permutations of 0..n*1-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 5. 7
1, 1, 1, 1, 1, 2, 4, 8, 16, 32, 96, 288, 864, 2592, 7776, 31104, 124416, 497664, 1990656, 7962624, 39813120, 199065600, 995328000, 4976640000, 24883200000, 149299200000, 895795200000, 5374771200000, 32248627200000, 193491763200000, 1354442342400000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,6

COMMENTS

Column 1 of A264659.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..74

FORMULA

a(n) = Product_{i=0..4} floor((n+i)/5)!. - Alois P. Heinz, Jul 12 2016

a(n) ~ (2*Pi*n)^2 * n! / 5^(n + 5/2). - Vaclav Kotesovec, Oct 02 2018

EXAMPLE

All solutions for n=8

..5....0....0....5....5....5....0....0

..0....5....5....0....0....0....5....5

..1....6....6....6....6....1....1....1

..6....1....1....1....1....6....6....6

..7....7....2....2....7....2....7....2

..2....2....7....7....2....7....2....7

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

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

MATHEMATICA

Table[Product[Floor[(n + i)/5]!, {i, 0, 4}], {n, 1, 30}] (* Vaclav Kotesovec, Oct 02 2018 *)

CROSSREFS

Cf. A264659.

Column k=5 of A275062.

Sequence in context: A035523 A290301 A195458 * A078227 A250073 A260873

Adjacent sequences:  A264653 A264654 A264655 * A264657 A264658 A264659

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 20 2015

STATUS

approved

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Last modified November 30 03:48 EST 2021. Contains 349417 sequences. (Running on oeis4.)