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A202382 Denominators of coefficients in Taylor series expansion of exp(cosec(x)-cotanh(x)). 5

%I #5 Mar 30 2012 16:52:08

%S 1,6,72,1296,31104,6531840,235146240,1410877440,67722117120,

%T 40226937569280,16895313779097600,4054875306983424,291951022102806528,

%U 569304493100472729600,6831653917205672755200,331072459064582602752000,82635685782519817646899200,800739795232617032998453248000,190255775347269807040432491724800

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

%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);

%Y Cf. A013536.

%K nonn,frac

%O 0,2

%A _N. J. A. Sloane_, Dec 18 2011

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