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

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A266138 Expansion of Product_{k>=1} 1/(1 - k*(x^(2*k+1))). 2
1, 0, 0, 1, 0, 2, 1, 3, 2, 5, 7, 7, 11, 13, 24, 26, 35, 44, 69, 78, 112, 150, 188, 245, 318, 429, 537, 729, 924, 1177, 1534, 1965, 2518, 3287, 4108, 5394, 6857, 8604, 11022, 14073, 17899, 22549, 28900, 36182, 45954, 58395, 72912, 92118, 116201, 146279 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..10000

FORMULA

a(n) ~ c * 3^(n/7), where

c = 617630.638335... if mod(n,7) = 0

c = 617630.321433... if mod(n,7) = 1

c = 617630.360795... if mod(n,7) = 2

c = 617630.429073... if mod(n,7) = 3

c = 617630.357078... if mod(n,7) = 4

c = 617630.421636... if mod(n,7) = 5

c = 617630.341606... if mod(n,7) = 6.

MATHEMATICA

nmax=80; CoefficientList[Series[Product[1/(1-k*(x^(2*k+1))), {k, 1, nmax}], {x, 0, nmax}], x]

CROSSREFS

Cf. A006906, A077335, A087897, A265951, A266137.

Sequence in context: A263150 A145794 A176741 * A014000 A339612 A075257

Adjacent sequences:  A266135 A266136 A266137 * A266139 A266140 A266141

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Dec 21 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 December 3 05:05 EST 2021. Contains 349445 sequences. (Running on oeis4.)