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A320209 Number of sets of nonempty words with a total of n letters over octonary alphabet such that all letters occur at least once in the set. 3
394353, 18235680, 484092688, 9697863856, 163046201132, 2430540970008, 33194557467204, 424251626739144, 5148887208055692, 59963231946871288, 675318621308265328, 7398542789316786184, 79210967706138213860, 831754864387299725168, 8590788276593760698232 (list; graph; refs; listen; history; text; internal format)
OFFSET

8,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 8..1000

MAPLE

h:= proc(n, i, k) option remember; `if`(n=0, 1, `if`(i<1, 0,

      add(h(n-i*j, i-1, k)*binomial(k^i, j), j=0..n/i)))

    end:

a:= n-> (k-> add((-1)^i*binomial(k, i)*h(n$2, k-i), i=0..k))(8):

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

CROSSREFS

Column k=8 of A319501.

Cf. A320218.

Sequence in context: A204628 A171439 A210162 * A320218 A230792 A131277

Adjacent sequences:  A320206 A320207 A320208 * A320210 A320211 A320212

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 07 2018

STATUS

approved

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Last modified May 8 02:26 EDT 2021. Contains 343652 sequences. (Running on oeis4.)