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A322879 Number of set partitions of [n] such that the maximal absolute difference between the least elements of consecutive blocks equals six. 2
0, 1, 35, 413, 3709, 30396, 242366, 1934021, 15653524, 129267234, 1091892025, 9444993005, 83722879838, 760771479660, 7087056828919, 67674638461955, 662248199987728, 6638947646238102, 68153572265860585, 716151632403862252, 7699437833837232406 (list; graph; refs; listen; history; text; internal format)
OFFSET

6,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 6..581

Wikipedia, Partition of a set

FORMULA

a(n) = A287256(n) - A287255(n).

MAPLE

b:= proc(n, k, m, l) option remember; `if`(n<1, 1,

     `if`(l-n>k, 0, b(n-1, k, m+1, n))+m*b(n-1, k, m, l))

    end:

A:= (n, k)-> b(n-1, min(k, n-1), 1, n):

a:= n-> (k-> A(n, k)-A(n, k-1))(6):

seq(a(n), n=6..30);

CROSSREFS

Column k=6 of A287215.

Cf. A287255, A287256.

Sequence in context: A238539 A075664 A133317 * A105947 A183846 A219936

Adjacent sequences:  A322876 A322877 A322878 * A322880 A322881 A322882

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Dec 29 2018

STATUS

approved

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Last modified July 16 11:09 EDT 2020. Contains 335784 sequences. (Running on oeis4.)