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A278562 Numerators of coefficients in Taylor series expansion of log(arcsin(x)/log(x+1)). 2

%I

%S 0,1,-1,1,-5,19,-6863,751,-3191,2857,-467605,434293,-79370603,

%T 8181904909,-564351550729,5044289,-15949219262783,5026792806787,

%U -6536042124050878927,69028763155644023,-250300132038361463,1022779523247467,-109243524012284271443941

%N Numerators of coefficients in Taylor series expansion of log(arcsin(x)/log(x+1)).

%H G. C. Greubel, <a href="/A278562/b278562.txt">Table of n, a(n) for n = 0..445</a>

%e 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 + ...

%t Numerator[CoefficientList[Series[Log[ArcSin[x]/Log[x + 1]], {x, 0, 50}], x]] (* _G. C. Greubel_, Aug 09 2018 *)

%Y Cf. A013568, A278563.

%K sign,frac

%O 0,5

%A _N. J. A. Sloane_, Nov 23 2016

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Last modified June 22 01:32 EDT 2021. Contains 345367 sequences. (Running on oeis4.)