A320762 Number of ordered set partitions of [n] where the maximal block size equals six.

1, 14, 224, 3696, 64680, 1206744, 24011988, 508864356, 11459682234, 273563089800, 6904861371408, 183819838041840, 5149305370473264, 151447801937560128, 4666989813249123360, 150394712706368466336, 5059062167993588722968, 177346570951333803395376

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