A271757 - OEIS

A271757

Number of set partitions of [n+6] such that n is the largest element of the last block.

0, 1, 66, 989, 10039, 88772, 745107, 6164685, 51235748, 432156891, 3720513359, 32799220082, 296618292653, 2754210931669, 26267172307690, 257304094100601, 2588217808077035, 26724983451319372, 283138925329167239, 3076286737105578561, 34258285168272873876

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..571

Wikipedia, Partition of a set

FORMULA

a(n) = A271466(n+6,n).

EXAMPLE

a(3) = 66: 12456789|3, 1456789|23, 1456789|2|3, 145678|29|3, 145679|28|3, 14567|289|3, 145689|27|3, 14568|279|3, 14569|278|3, 1456|2789|3, 145789|26|3, 14578|269|3, 14579|268|3, 1457|2689|3, 14589|267|3, 1458|2679|3, 1459|2678|3, 145|26789|3, 146789|25|3, 14678|259|3, 14679|258|3, 1467|2589|3, 14689|257|3, 1468|2579|3, 1469|2578|3, 146|25789|3, 14789|256|3, 1478|2569|3, 1479|2568|3, 147|25689|3, 1489|2567|3, 148|25679|3, 149|25678|3, 14|256789|3, 156789|24|3, 15678|249|3, 15679|248|3, 1567|2489|3, 15689|247|3, 1568|2479|3, 1569|2478|3, 156|24789|3, 15789|246|3, 1578|2469|3, 1579|2468|3, 157|24689|3, 1589|2467|3, 158|24679|3, 159|24678|3, 15|246789|3, 16789|245|3, 1678|2459|3, 1679|2458|3, 167|24589|3, 1689|2457|3, 168|24579|3, 169|24578|3, 16|245789|3, 1789|2456|3, 178|24569|3, 179|24568|3, 17|245689|3, 189|24567|3, 18|245679|3, 19|245678|3, 1|2456789|3.

CROSSREFS

A diagonal of A271466.

Sequence in context: A337896 A056468 A027785 * A228996 A196789 A284283

Adjacent sequences: A271754 A271755 A271756 * A271758 A271759 A271760

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Apr 13 2016

STATUS

approved