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A320762 Number of ordered set partitions of [n] where the maximal block size equals six. 2
1, 14, 224, 3696, 64680, 1206744, 24011988, 508864356, 11459682234, 273563089800, 6904861371408, 183819838041840, 5149305370473264, 151447801937560128, 4666989813249123360, 150394712706368466336, 5059062167993588722968, 177346570951333803395376 (list; graph; refs; listen; history; text; internal format)
OFFSET

6,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 6..424

FORMULA

E.g.f.: 1/(1-Sum_{i=1..6} x^i/i!) - 1/(1-Sum_{i=1..5} x^i/i!).

a(n) = A276926(n) - A276925(n).

MAPLE

b:= proc(n, k) option remember; `if`(n=0, 1, add(

      b(n-i, k)*binomial(n, i), i=1..min(n, k)))

    end:

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

seq(a(n), n=6..25);

CROSSREFS

Column k=6 of A276922.

Cf. A276925, A276926.

Sequence in context: A319114 A145269 A221582 * A027774 A099272 A273625

Adjacent sequences:  A320759 A320760 A320761 * A320763 A320764 A320765

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 20 2018

STATUS

approved

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Last modified November 19 08:44 EST 2019. Contains 329318 sequences. (Running on oeis4.)