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!)
A353882 Expansion of e.g.f. 1/(1 - (x * log(1-x))^4 / 576). 5
1, 0, 0, 0, 0, 0, 0, 0, 70, 1260, 17850, 242550, 3350655, 48108060, 724403680, 11478967500, 191632761320, 3369643717440, 62346624827760, 1212116258480400, 24721764604046280, 528066880710319440, 11793526736005503720, 274937000436908714520 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,9
LINKS
FORMULA
a(n) = n! * Sum_{k=0..floor(n/8)} (4*k)! * |Stirling1(n-4*k,4*k)|/(576^k * (n-4*k)!).
PROG
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1-(x*log(1-x))^4/576)))
(PARI) a(n) = n!*sum(k=0, n\8, (4*k)!*abs(stirling(n-4*k, 4*k, 1))/(576^k*(n-4*k)!));
CROSSREFS
Sequence in context: A353896 A353885 A353893 * A061606 A331351 A298973
KEYWORD
nonn
AUTHOR
Seiichi Manyama, May 09 2022
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 February 23 20:31 EST 2024. Contains 370288 sequences. (Running on oeis4.)