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A320764 Number of ordered set partitions of [n] where the maximal block size equals eight. 2
1, 18, 360, 7260, 152460, 3361644, 78041964, 1908389340, 49118959890, 1328964080730, 37738620245898, 1122927974067042, 34953464391146730, 1136306352798186570, 38520124906043253330, 1359621561034260858906, 49896547074800880656202, 1901350452285623246965200 (list; graph; refs; listen; history; text; internal format)
OFFSET

8,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 8..425

FORMULA

E.g.f.: 1/(1-Sum_{i=1..8} x^i/i!) - 1/(1-Sum_{i=1..7} x^i/i!).

a(n) = A276928(n) - A276927(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))(8):

seq(a(n), n=8..25);

CROSSREFS

Column k=8 of A276922.

Cf. A276927, A276928.

Sequence in context: A127585 A230348 A182609 * A086502 A259459 A099276

Adjacent sequences:  A320761 A320762 A320763 * A320765 A320766 A320767

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 20 2018

STATUS

approved

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Last modified June 7 00:02 EDT 2020. Contains 334836 sequences. (Running on oeis4.)