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A322883 Number of set partitions of [n] such that the maximal absolute difference between the least elements of consecutive blocks equals ten. 2
0, 1, 515, 22253, 430909, 6094476, 74507486, 847129333, 9296465127, 100540964675, 1085004090887, 11775039127122, 129155075413877, 1436488582202316, 16235344928131625, 186710546094489052, 2186538096666720967, 26085011069325363939, 317049671003606985326 (list; graph; refs; listen; history; text; internal format)
OFFSET

10,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 10..579

Wikipedia, Partition of a set

FORMULA

a(n) = A287260(n) - A287259(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))(10):

seq(a(n), n=10..30);

CROSSREFS

Column k=10 of A287215.

Cf. A287259, A287260.

Sequence in context: A246244 A257087 A254643 * A234826 A232574 A282753

Adjacent sequences:  A322880 A322881 A322882 * A322884 A322885 A322886

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Dec 29 2018

STATUS

approved

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Last modified April 20 08:29 EDT 2019. Contains 322306 sequences. (Running on oeis4.)