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A320208 Number of sets of nonempty words with a total of n letters over septenary alphabet such that all letters occur at least once in the set. 3
37633, 1366057, 28969248, 470004045, 6470660266, 79706067707, 906335330250, 9706198156760, 99243640018075, 978284068984075, 9363362648969343, 87485517250169934, 801259222264152813, 7216852772737393058, 64088034265985397794, 562287261308092526759 (list; graph; refs; listen; history; text; internal format)
OFFSET

7,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 7..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))(7):

seq(a(n), n=7..25);

CROSSREFS

Column k=7 of A319501.

Cf. A320217.

Sequence in context: A284080 A092682 A236122 * A320217 A236883 A048526

Adjacent sequences:  A320205 A320206 A320207 * A320209 A320210 A320211

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 07 2018

STATUS

approved

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Last modified September 24 23:43 EDT 2022. Contains 356951 sequences. (Running on oeis4.)