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A177699 E.g.f.: log(1+x)*sinh(x). 4
0, 0, 2, -3, 12, -40, 190, -1071, 7224, -56232, 495898, -4880755, 53005700, -629398848, 8110146070, -112690225935, 1679413757168, -26719024870576, 451969255722162, -8099650628337987, 153288815339260796 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

REFERENCES

L. Comtet and M. Fiolet, Sur les derivees successives d'une fonction implicite. C. R. Acad. Sci. Paris Ser. A 278 (1974), 249-251.

LINKS

Table of n, a(n) for n=0..20.

FORMULA

a(n) = n*((-1)^n*3F1(1,1,1-n;2;-1)+3F1(1,1,1-n;2;1))/2, n>0. - Benedict W. J. Irwin, May 30 2016

a(n) ~ (-1)^n * (n-1)! * sinh(1). - Vaclav Kotesovec, May 30 2016

EXAMPLE

log(1+x) * sinh(x) = x^2 -x^3/2 +x^4/2 -x^5/3 +19*x^6/72 -17*x^7/80 +...

MAPLE

A177699 := proc(n)

        log(1+x)*sinh(x) ;

        coeftayl(%, x=0, n)*n! ;

end proc;

seq(A177699(n), n=0..20) ; # R. J. Mathar, Nov 07 2011

MATHEMATICA

Table[n ((-1)^n HypergeometricPFQ[{1, 1, 1 - n}, {2}, -1] + HypergeometricPFQ[{1, 1, 1 - n}, {2}, 1])/2, {n, 1, 20}] (* Benedict W. J. Irwin, May 30 2016 *)

CROSSREFS

Sequence in context: A082526 A151368 A087650 * A256881 A012514 A012511

Adjacent sequences:  A177696 A177697 A177698 * A177700 A177701 A177702

KEYWORD

sign

AUTHOR

Michel Lagneau, May 11 2010

STATUS

approved

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Last modified February 16 14:47 EST 2019. Contains 320163 sequences. (Running on oeis4.)