A012857 - OEIS

A012857

Numerator of [x^(2n)] of the Taylor expansion log(cosec(x)*arctan(x))= -x^2/6 +3*x^4/20 -50*x^6/567 +203*x^8/3240 -7472*x^10/155925 +...

%I #10 Dec 20 2011 14:50:03

%S 0,-1,3,-50,203,-7472,319561,-4725019,8552625673,-2454640799284,

%T 16155306808034,-5947223237624953,147005475101499533,

%U -2545370372470913809,7441717839455761431719

%N Numerator of [x^(2n)] of the Taylor expansion log(cosec(x)*arctan(x))= -x^2/6 +3*x^4/20 -50*x^6/567 +203*x^8/3240 -7472*x^10/155925 +...

%C The inner function is cosec(x)*arctan(x) = 1- x^2/6 +59*x^4/360 -1723*x^6/15120 +164597*x^8/1814400 -...

%Y Cf. A175671 (denominators).

%K sign,frac

%O 0,3

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

%E Values replaced by numerators. - R. J. Mathar, Dec 20 2011