A032183 "CIJ" (necklace, indistinct, labeled) transform of 3,3,3,3...

3, 12, 84, 876, 12180, 211692, 4415124, 107430636, 2987482260, 93461994732, 3248794543764, 124223034396396, 5181679901192340, 234153759187726572, 11395053576644512404, 594148263021558162156

Offset

1,1

Links

Table of n, a(n) for n=1..16.

Christian G. Bower, Transforms (2)

Index entries for sequences related to necklaces

Formula

From Vladeta Jovovic, Sep 14 2003: (Start)

E.g.f.: -log(4-3*exp(x)).

a(n) = Sum_{k=1..n} 3^k*(k-1)!*Stirling2(n, k). (End)

a(n) ~ (n-1)! / (log(4/3))^n. - Vaclav Kotesovec, Mar 29 2014

a(n) = 3 * (1 + Sum_{k=1..n-1} binomial(n-1,k-1) * a(k)). - Ilya Gutkovskiy, Aug 09 2020

Mathematica

Table[ PolyLog[n, 3/4], {n, 0, -15, -1}] (* Robert G. Wilson v, Aug 05 2010 *)

Prog

(PARI) a(n)=polylog(1-n, 3/4) \\ Charles R Greathouse IV, Aug 27 2014

Crossrefs

Cf. A000629, A027882.

Sequence in context: A328778 A231868 A147835 * A225905 A355322 A070825

Adjacent sequences: A032180 A032181 A032182 * A032184 A032185 A032186

Keyword

nonn

Author

Christian G. Bower

Status

approved