login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A034755 Dirichlet convolution of 3^(n-1) with Catalan numbers. 0
1, 4, 11, 35, 95, 300, 861, 2658, 8009, 24668, 75845, 236401, 739453, 2338348, 7457697, 24047361, 78404391, 258796668, 865059189, 2929559709, 10050907467, 34926729660, 122863623249, 437203156566, 1572333684939, 5709236166372 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
FORMULA
a(n) ~ 2^(2*n-2) / (sqrt(Pi) * n^(3/2)). - Vaclav Kotesovec, Sep 11 2019
MATHEMATICA
Table[Sum[CatalanNumber[n/d - 1]*3^(d - 1), {d, Divisors[n]}], {n, 1, 25}] (* Vaclav Kotesovec, Sep 10 2019 *)
CROSSREFS
Sequence in context: A149235 A149236 A135919 * A297608 A034756 A029853
KEYWORD
nonn
AUTHOR
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 21 06:38 EDT 2024. Contains 373540 sequences. (Running on oeis4.)