A357422 -id:A357422

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Search: a357422 -id:a357422

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A357343

E.g.f. satisfies A(x) = -log(1 - x * exp(A(x))) * exp(A(x)).

+10
3

0, 1, 5, 53, 878, 19904, 573984, 20112770, 829953368, 39425517072, 2119169565120, 127163052628512, 8426599011632592, 611181716437826832, 48159349246147915944, 4096752391897622411880, 374189567290578072309504, 36525100459236757201316352

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

Table of n, a(n) for n=0..17.

Index entries for reversions of series

FORMULA

a(n) = Sum_{k=1..n} (n+k)^(k-1) * |Stirling1(n,k)|.

E.g.f.: Series_Reversion( exp(-x) * (1 - exp(-x * exp(-x))) ). - Seiichi Manyama, Sep 09 2024

PROG

(PARI) a(n) = sum(k=1, n, (n+k)^(k-1)*abs(stirling(n, k, 1)));

CROSSREFS

Cf. A006963, A357344, A357345, A357422.

Cf. A052807, A349556.

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Sep 25 2022

STATUS

approved

A357344

E.g.f. satisfies A(x) = -log(1 - x * exp(A(x))) * exp(2 * A(x)).

+10
3

0, 1, 7, 104, 2422, 77304, 3141108, 155155580, 9027723248, 604793361744, 45851401106880, 3880989671623008, 362790690552990720, 37120807927059003744, 4126551430278515989632, 495243629308215934662720, 63819561948443247132306432, 8789113187481077533462305024