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A293749
Number of sets of nonempty words with a total of n letters over denary alphabet such that within each prefix of a word every letter of the alphabet is at least as frequent as the subsequent alphabet letter.
4
1, 1, 2, 6, 15, 45, 136, 430, 1415, 4845, 17235, 63508, 242841, 959746, 3924747, 16551199, 71994097, 322098625, 1481655067, 6990945197, 33812067833, 167294687170, 846131720816, 4367249636291, 22985935628080, 123193976095986, 671862417595209, 3724122166971836
OFFSET
0,3
LINKS
FORMULA
G.f.: Product_{j>=1} (1+x^j)^A212916(j).
CROSSREFS
Column k=10 of A293112.
Sequence in context: A293746 A293747 A293748 * A293114 A322188 A317976
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Oct 15 2017
STATUS
approved