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A012906
Expansion of e.g.f. tanh(arcsin(x) + log(x+1)).
1
0, 2, -1, -13, 42, 245, -2490, -4765, 209720, -530035, -22851000, 212068925, 2756074200, -63885256825, -209294612800, 19894322342375, -99845235204000, -6458228568556375, 102934030004208000, 1969133836186414625, -73966351106066965000, -303630429195570173125
OFFSET
0,2
LINKS
EXAMPLE
2*x - 1/2!*x^2 - 13/3!*x^3 + 42/4!*x^4 + 245/5!*x^5 ...
MATHEMATICA
Range[0, 25]! CoefficientList[Series[Tanh[ArcSin[x] + Log[x+1]], {x, 0, 25}], x] (* Vincenzo Librandi, Jul 27 2018 *)
PROG
(PARI) x = 'x + O('x^30); concat(0, Vec(serlaplace(tanh(asin(x) + log(x+1))))) \\ Michel Marcus, Jul 27 2018
CROSSREFS
Sequence in context: A317384 A247601 A013020 * A013017 A012902 A087169
KEYWORD
sign
AUTHOR
Patrick Demichel (patrick.demichel(AT)hp.com)
EXTENSIONS
a(0) inserted and title improved by Sean A. Irvine, Jul 27 2018
STATUS
approved