Search: id:A003163
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%I A003163 M1534
%S A003163 1,2,5,20,350,140,1050,300,57750,38500,250250,45500,2388750,367500,
%T A003163 318750,42500,1088106250,128012500,960093750,101062500,105761906250,
%U A003163 10072562500,2289218750,199062500,8842968750,707437500,51289218750
%N A003163 Denominators of Van der Pol numbers.
%D A003163 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A003163 F. T. Howard, Properties of the van der Pol numbers and polynomials, 
               R. Reine Angew. Math., 260 (1973), 35-46.
%H A003163 T. D. Noe, <a href="b003163.txt">Table of n, a(n) for n=0..200</a>
%F A003163 E.g.f.: x^3/( 6*x*(exp(x)+1)-12*(exp(x)-1) ).
%e A003163 1, -1/2, 1/5, -1/20, -1/350, 1/140, 1/1050, -1/300, -37/57750, 111/38500, 
               177/250250, -177/45500, ... = A003163/A003164
%p A003163 G:=x^3/(6*x*(exp(x)+1)-12*(exp(x)-1)):Gser:=series(G,x=0,35):1,seq(denom(n!*coeff(Gser,
               x^n)),n=1..31); (Deutsch)
%Y A003163 Cf. A003164.
%Y A003163 Sequence in context: A005331 A158872 A006893 this_sequence A088498 A039777 
               A000941
%Y A003163 Adjacent sequences: A003160 A003161 A003162 this_sequence A003164 A003165 
               A003166
%K A003163 nonn,frac,nice,easy
%O A003163 0,2
%A A003163 N. J. A. Sloane (njas(AT)research.att.com).
%E A003163 More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Dec 23 2004

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