

A013261


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


0



0, 0, 1, 1, 6, 23, 90, 509, 1960, 7251, 20160, 1028821, 16750008, 249844519, 3354647296, 42644099135, 506129014560, 4945670890617, 23557830350976, 694520543221487, 32533456838195320, 956551460942273757
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OFFSET

0,5


LINKS



EXAMPLE

(1/2!)*x^2 + (1/3!)*x^3  (6/4!)*x^4 + (23/5!)*x^5  ...


PROG

(PARI) x = 'x + O('x^30); concat([0, 0], Vec(serlaplace(atan(log(x+1)  sinh(x))))) \\ Michel Marcus, Aug 03 2018


CROSSREFS



KEYWORD

sign


AUTHOR

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


EXTENSIONS

a(0)=a(1)=0 inserted and title improved by Sean A. Irvine, Aug 02 2018


STATUS

approved



