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!)
A357095 E.g.f. satisfies A(x)^A(x) = 1/(1 - x * A(x))^(log(1 - x * A(x))^2 / 6). 1
1, 0, 0, 1, 6, 35, 275, 2884, 35672, 494724, 7673670, 132896676, 2544253426, 53252983992, 1208888367596, 29592833903424, 777311220788320, 21808542026480120, 650880782773059840, 20590135175285212800, 688212821908314587880, 24235789570607605377680 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..21.

FORMULA

E.g.f. satisfies A(x) * log(A(x)) = -log(1 - x * A(x))^3 / 6.

a(n) = Sum_{k=0..floor(n/3)} (3*k)! * (n-k+1)^(k-1) * |Stirling1(n,3*k)|/(6^k * k!).

PROG

(PARI) a(n) = sum(k=0, n\3, (3*k)!*(n-k+1)^(k-1)*abs(stirling(n, 3*k, 1))/(6^k*k!));

CROSSREFS

Cf. A141209, A357094.

Cf. A357037.

Sequence in context: A325115 A087631 A167579 * A030446 A093989 A357037

Adjacent sequences: A357092 A357093 A357094 * A357096 A357098 A357099

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Sep 11 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 3 01:24 EST 2023. Contains 360024 sequences. (Running on oeis4.)