A320211 Number of sets of nonempty words with a total of n letters over denary alphabet such that all letters occur at least once in the set.

58941091, 4097382940, 159454061270, 4587784661870, 108909499300650, 2259736176893470, 42433681634931005, 737876928284127870, 12073172284265618005, 188049325030487680920, 2812707955072045999940, 40672129029056125818340, 571583937930987524954470

Offset

10,1

Links

Alois P. Heinz, Table of n, a(n) for n = 10..975

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))(10):
seq(a(n), n=10..25);

Crossrefs

Column k=10 of A319501.

Cf. A320220.

Sequence in context: A034612 A015355 A321496 * A320220 A034644 A269925

Adjacent sequences: A320208 A320209 A320210 * A320212 A320213 A320214

Keyword

nonn

Author

Alois P. Heinz, Oct 07 2018

Status

approved