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A293740 Number of multisets 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, 3, 7, 20, 54, 164, 500, 1630, 5472, 19257, 70132, 265845, 1042187, 4233556, 17747898, 76808746, 342105748, 1567582938, 7371055703, 35543320641, 175391546006, 884988267329, 4558168670317, 23945579145172, 128119583103268, 697657759802893, 3861749505389798 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

This sequence differs from A293110 first at n=11.

In general, for k>2, is column k of A293108 asymptotic to c(k) * k^n / n^(k*(k-1)/4), where c(k) are constants dependent only on k. - Vaclav Kotesovec, Dec 19 2020

LINKS

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

FORMULA

G.f.: Product_{j>=1} 1/(1-x^j)^A212916(j).

a(n) ~ c * 10^n / n^(45/2), where c = 2738042932059662927432072.80048573... - Vaclav Kotesovec, Dec 19 2020

CROSSREFS

Column k=10 of A293108.

Cf. A212916, A293110, A293749.

Sequence in context: A293737 A293738 A293739 * A293110 A322204 A000227

Adjacent sequences:  A293737 A293738 A293739 * A293741 A293742 A293743

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 15 2017

STATUS

approved

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Last modified May 14 08:44 EDT 2021. Contains 343879 sequences. (Running on oeis4.)