A012856 - OEIS

%I #9 May 01 2013 21:16:00

%S 0,1,1,193,25,4933,4401359,36740677,3071547701,23133946330973,

%T 329484655084859,21691682982342361,13881630720619393,

%U 69213549869735245153,3593575793538669123431,10240663960560618779544197,9484738025292216993019060741,8496155203670918507329390777,4389630332959873242573538670607401

%N Numerators of coefficients in Taylor series expansion of log(cosec(x)*arcsin(x)).

%e 1/3*x^2+1/15*x^4+193/5670*x^6+25/1134*x^8+4933/311850*x^10+4401359/364864500*x^12+...

%p t1:=log(csc(x)*arcsin(x));

%p t2:=series(t1,x,50);

%p t3:=seriestolist(t2);

%p t3:=[seq(t3[2*i+1],i=0..(nops(t3)-1)/2 )];

%p t4:=map(numer,t3); t5:=map(denom,t3); lprint(t2);

%Y Cf. A202380.

%K nonn,frac

%O 0,4

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

%E Corrected by _N. J. A. Sloane_, Dec 18 2011, based on discussions on the Sequence Fans Mailing List, Dec 13-17 2011.