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.

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

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