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A278563 Denominators of coefficients in Taylor series expansion of log(arcsin(x)/log(x+1)). 2
1, 2, 24, 8, 192, 288, 362880, 17280, 215040, 89600, 38320128, 17418240, 7664025600, 402361344000, 62768369664000, 295206912, 2008587829248000, 342372925440000, 919636959090769920000, 5377993912811520000, 38926432130826240000, 89903156428800000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..445

EXAMPLE

The Taylor series begins (1/2)*x - (1/24)*x^2 + (1/8)*x^3 - (5/192)*x^4 + (19/288)*x^5 - (6863/362880)*x^6 + (751/17280)*x^7 - (3191/215040)*x^8 + (2857/89600)*x^9 - (467605/38320128)*x^10 + (434293/17418240)*x^11 - (79370603/7664025600)*x^12 + (8181904909/402361344000)*x^13 + ...

MATHEMATICA

Denominator[ CoefficientList[Series[Log[ArcSin[x]/Log[x + 1]], {x, 0, 50}], x]] (* G. C. Greubel, Aug 09 2018 *)

CROSSREFS

Cf. A013568, A278562.

Sequence in context: A329263 A227477 A066585 * A075267 A002743 A220773

Adjacent sequences:  A278560 A278561 A278562 * A278564 A278565 A278566

KEYWORD

nonn,frac

AUTHOR

N. J. A. Sloane, Nov 23 2016

STATUS

approved

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Last modified June 19 10:50 EDT 2021. Contains 345126 sequences. (Running on oeis4.)