login
A278562
Numerators of coefficients in Taylor series expansion of log(arcsin(x)/log(x+1)).
2
0, 1, -1, 1, -5, 19, -6863, 751, -3191, 2857, -467605, 434293, -79370603, 8181904909, -564351550729, 5044289, -15949219262783, 5026792806787, -6536042124050878927, 69028763155644023, -250300132038361463, 1022779523247467, -109243524012284271443941
OFFSET
0,5
LINKS
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
Numerator[CoefficientList[Series[Log[ArcSin[x]/Log[x + 1]], {x, 0, 50}], x]] (* G. C. Greubel, Aug 09 2018 *)
CROSSREFS
Sequence in context: A174490 A280034 A270486 * A013531 A357517 A122152
KEYWORD
sign,frac
AUTHOR
N. J. A. Sloane, Nov 23 2016
STATUS
approved