A013009 - OEIS

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A013009

Expansion of e.g.f. log(cos(x) + log(x+1)).

0, 1, -3, 10, -55, 393, -3485, 36923, -455306, 6408445, -101402557, 1782112451, -34444583072, 726178939315, -16584396680007, 407872396640525, -10747394439586016, 302068718096449161, -9020579413121532169

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

OFFSET

0,3

LINKS

Table of n, a(n) for n=0..18.

EXAMPLE

x - 3/2!*x^2 + 10/3!*x^3 - 55/4!*x^4 + 393/5!*x^5 ...

PROG

(PARI) x = 'x + O('x^30); concat([0], Vec(serlaplace(log(cos(x) + log(x+1))))) \\ Michel Marcus, Jul 30 2018

CROSSREFS

Sequence in context: A034234 A284645 A081721 * A301920 A203416 A002218

Adjacent sequences: A013006 A013007 A013008 * A013010 A013011 A013012

KEYWORD

sign

AUTHOR

Patrick Demichel (patrick.demichel(AT)hp.com)

EXTENSIONS

a(0)=0 inserted and title improved by Sean A. Irvine, Jul 29 2018

STATUS

approved