A013536 - OEIS

A013536

Numerators of coefficients in Taylor series expansion of exp(cosec(x)-cotanh(x)).

%I #23 Mar 25 2014 02:24:56

%S 1,-1,1,53,-215,3341,199159,391337,-4128623,710371933,257347648013,

%T 6178130243,-111384981593,225570264096917,1407269115959761,

%U 1546226961439379,69849267671401979,5665951032145572087083,467410556088873329284747,-1602619428542796266047,429563383515510620615310131,218332153959703843484481031721

%N Numerators of coefficients in Taylor series expansion of exp(cosec(x)-cotanh(x)).

%H Vincenzo Librandi, <a href="/A013536/b013536.txt">Table of n, a(n) for n = 0..200</a>

%e 1 -1/6*x+1/72*x^2 +53/1296*x^3 -215/31104*x^4 +3341/6531840*x^5 +199159/235146240*x^6 +...

%p t1:=exp(csc(x)-coth(x));

%p t2:=series(t1,x,30);

%p t3:=seriestolist(t2);

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

%t Numerator[CoefficientList[Series[Exp[Csc[x]-Coth[x]],{x,0,30}],x]](* _N. J. A. Sloane_, Feb 28 2014 *)

%Y Cf. A202382.

%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.

%E Mathematica program modified by _Harvey P. Dale_, Feb 28 2014