A275292 Number of set partitions of [n] with symmetric block size list of length nine.

1, 5, 95, 575, 7175, 49091, 513206, 3800358, 36298007, 282835456, 2571177913, 20702222482, 183079272792, 1505743012484, 13114463722858, 109381638489849, 944974537003694, 7956650229728706, 68468581589476475, 580345660548809882, 4986413617279183229

Offset

9,2

Links

Alois P. Heinz, Table of n, a(n) for n = 9..500

Wikipedia, Partition of a set

Formula

a(n) ~ 9^n / (71680*Pi^2*n^2). - Vaclav Kotesovec, Aug 02 2016

Example

a(10) = 5: 1|2|3|4|56|7|8|9|(10), 1|2|3|4|57|6|8|9|(10), 1|2|3|4|58|6|7|9|(10), 1|2|3|4|59|6|7|8|(10), 1|2|3|4|5(10)|6|7|8|9.

Crossrefs

Column k=9 of A275281.

Sequence in context: A054205 A116290 A274874 * A362481 A359271 A363844

Adjacent sequences: A275289 A275290 A275291 * A275293 A275294 A275295

Keyword

nonn

Author

Alois P. Heinz, Jul 22 2016

Status

approved