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A012914 tan(arcsin(x)+sin(x))=2*x+16/3!*x^3+522/5!*x^5+36720/7!*x^7... 1
2, 16, 522, 36720, 4461330, 830213360, 219316022746, 78023205911120, 35958898030220578, 20839302944521398608, 14832042611278187449258, 12718289601867562421920688, 12931877167403668813222980658 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..200

Vaclav Kotesovec, Graph - abs(e.g.f.) in the complex plane

FORMULA

a(n) ~ 2 * (2*n+1)! / ((1/sqrt(1-r^2) + cos(r)) * r^(2*n+2)), where r = 0.76816915673679597746208623955865641813208731218273718569... is the root of the equation arcsin(r)+sin(r) = Pi/2. - Vaclav Kotesovec, Feb 07 2015

MATHEMATICA

nn=30; Take[CoefficientList[Series[Tan[ArcSin[x]+Sin[x]], {x, 0, nn}], x], {2, -1, 2}]Range[1, nn, 2]! (* Harvey P. Dale, Sep 27 2011 *)

CROSSREFS

Sequence in context: A136632 A168405 A012919 * A168404 A013087 A121271

Adjacent sequences:  A012911 A012912 A012913 * A012915 A012916 A012917

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified January 29 14:23 EST 2020. Contains 331338 sequences. (Running on oeis4.)