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A293739 Number of multisets of nonempty words with a total of n letters over nonary alphabet such that within each prefix of a word every letter of the alphabet is at least as frequent as the subsequent alphabet letter. 5
1, 1, 3, 7, 20, 54, 164, 500, 1630, 5472, 19256, 70121, 265723, 1041184, 4225484, 17689505, 76392933, 339283021, 1548592471, 7246210567, 34725853445, 170096822940, 850715642495, 4337263437693, 22519434992230, 118916581795167, 638088881489144, 3475474084479428 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

This sequence differs from A293110 first at n=10.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000

FORMULA

G.f.: Product_{j>=1} 1/(1-x^j)^A212915(j).

a(n) ~ c * 9^n / n^18, where c = 978644175524508179.918397627321774... - Vaclav Kotesovec, Dec 19 2020

CROSSREFS

Column k=9 of A293108.

Cf. A212915, A293110, A293748.

Sequence in context: A293736 A293737 A293738 * A293740 A293110 A322204

Adjacent sequences:  A293736 A293737 A293738 * A293740 A293741 A293742

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 15 2017

STATUS

approved

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Last modified June 18 14:54 EDT 2021. Contains 345119 sequences. (Running on oeis4.)