login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A265838 Expansion of Product_{k>=1} 1/(1 - k^4*x^k). 4
1, 1, 17, 98, 610, 2531, 18580, 72453, 449494, 2114440, 10753594, 48572844, 272867295, 1137441506, 5834448870, 27276382027, 129389072144, 576677550870, 2884567552542, 12401875640710, 59474089385344, 270438887909580, 1230979340265033, 5477371267093144 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..1550

FORMULA

a(n) ~ c * 3^(4*n/3), where

c = 27.2472595510480930563087281042486261391960582835336715327... if n mod 3 = 0

c = 26.8841208067599453033952496040472485838861626762931432887... if n mod 3 = 1

c = 26.9277867007233095885556073185206409643421012262073908850... if n mod 3 = 2.

G.f.: exp(Sum_{k>=1} Sum_{j>=1} j^(4*k)*x^(j*k)/k). - Ilya Gutkovskiy, Jun 14 2018

MATHEMATICA

nmax = 40; CoefficientList[Series[Product[1/(1 - k^4*x^k), {k, 1, nmax}], {x, 0, nmax}], x]

CROSSREFS

Cf. A006906, A077335, A265837, A265839, A265841.

Sequence in context: A023873 A294590 A294586 * A098997 A257449 A301548

Adjacent sequences:  A265835 A265836 A265837 * A265839 A265840 A265841

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Dec 16 2015

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 7 20:36 EDT 2021. Contains 343652 sequences. (Running on oeis4.)