login
This site is supported by donations to The OEIS Foundation.

 

Logo

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A038066 Product_{k>=1} 1/(1 - x^k)^a(k) = 1 + 5x. 5
5, -15, 40, -150, 624, -2620, 11160, -48750, 217000, -976872, 4438920, -20343700, 93900240, -435970980, 2034504992, -9536718750, 44878791360, -211927733500, 1003867701480, -4768371093720, 22706531339280 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..1000

N. J. A. Sloane, Euler transform

FORMULA

G.f.: Sum_{k>=1} mu(k)*log(1 + 5*x^k)/k. - Ilya Gutkovskiy, May 23 2017

a(n) ~ -(-1)^n * 5^n / n. - Vaclav Kotesovec, Jun 12 2018

PROG

(PARI) x='x+O('x^22); Vec(sum(k=1, 22, moebius(k)*log(1 + 5*x^k)/k)) \\ Indranil Ghosh, May 24 2017

CROSSREFS

Cf. A038063, A038064, A038065, A038067, A038068, A038069, A038070.

Sequence in context: A201157 A301980 A230955 * A306159 A113861 A080870

Adjacent sequences:  A038063 A038064 A038065 * A038067 A038068 A038069

KEYWORD

sign

AUTHOR

Christian G. Bower, Jan 04 1999

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 January 17 22:51 EST 2019. Contains 319251 sequences. (Running on oeis4.)