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Numerators of coefficients in Taylor series expansion of log(cosec(x)*tanh(x)).
1

%I #10 May 01 2013 21:16:00

%S 0,-1,1,-61,17,-1021,691,-32762,929569,-1045394477,221930581,

%T -651651769166,56963745931,-88306000053182,2093660879252671,

%U -321780490474593819308,129848163681107301953,-2604961188011595075731,209390615747646519456961,-7707087027623315087276182,16103843159579478297227731

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

%e -1/6*x^2+1/12*x^4-61/2835*x^6+17/2520*x^8-1021/467775*x^10+691/935550*x^12-...

%p t1:=log(tanh(x)*csc(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. A202383.

%K sign,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.