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A275072 Number of set partitions of [n] such that i-j is a multiple of five for all i,j belonging to the same block. 2
1, 1, 1, 1, 1, 1, 2, 4, 8, 16, 32, 80, 200, 500, 1250, 3125, 9375, 28125, 84375, 253125, 759375, 2632500, 9126000, 31636800, 109674240, 380204032, 1484258048, 5794315072, 22620114608, 88305447412, 344730881243, 1489305334237, 6434092503083, 27796547414797 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,7

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..772

Wikipedia, Partition of a set

FORMULA

a(n) = Product_{i=0..4} A000110(floor((n+i)/5)).

EXAMPLE

a(9) = 16: 16|27|38|49|5, 16|27|38|4|5|9, 16|27|3|49|5|8, 16|27|3|4|5|8|9, 16|2|38|49|5|7, 16|2|38|4|5|7|9, 16|2|3|49|5|7|8, 16|2|3|4|5|7|8|9, 1|27|38|49|5|6, 1|27|38|4|5|6|9, 1|27|3|49|5|6|8, 1|27|3|4|5|6|8|9, 1|2|38|49|5|6|7, 1|2|38|4|5|6|7|9, 1|2|3|49|5|6|7|8, 1|2|3|4|5|6|7|8|9.

CROSSREFS

Column k=5 of A275069.

Cf. A000110.

Sequence in context: A274860 A076766 A344492 * A290555 A035523 A290301

Adjacent sequences:  A275069 A275070 A275071 * A275073 A275074 A275075

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Jul 15 2016

STATUS

approved

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Last modified June 23 01:56 EDT 2021. Contains 345394 sequences. (Running on oeis4.)