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A320210 Number of sets of nonempty words with a total of n letters over nonary alphabet such that all letters occur at least once in the set. 3
4596553, 263460321, 8549512506, 207037303758, 4169086763787, 73865658618900, 1191183607371897, 17876336340787308, 253521082577243286, 3435636331820210328, 44859666267675306756, 567955878004442678319, 7007036376866803617768, 84571686324119453047650 (list; graph; refs; listen; history; text; internal format)
OFFSET

9,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 9..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))(9):

seq(a(n), n=9..25);

CROSSREFS

Column k=9 of A319501.

Cf. A320219.

Sequence in context: A152964 A129931 A206195 * A320219 A265448 A272701

Adjacent sequences: A320207 A320208 A320209 * A320211 A320212 A320213

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 07 2018

STATUS

approved

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Last modified December 9 11:21 EST 2022. Contains 358700 sequences. (Running on oeis4.)