Search: id:A114876
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%I A114876
%S A114876 1,4,108,442368,51200000,52428800000,43177371238400000,
%T A114876 60766747818779941065981952,23542283154891408151173909109014528,
%U A114876 60268244876522004867005207319077191680000000000
%N A114876 Numerator of the discriminant of the n-th Legendre polynomial.
%C A114876 The denominator is A114877. It appears that every prime <= 2n-1 is a 
               factor of the numerator or denominator of the discriminant d(n).
%H A114876 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               PolynomialDiscriminant.html">MathWorld: Polynomial Discriminant</
               a>
%H A114876 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               LegendrePolynomial.html">MathWorld: Legendre Polynomial</a>
%F A114876 Let d(1)=1 and d(n) = d(n-1) n^(2n-2) (2n-1)^(3-2n). Then a(n)=numer(d(n)).
%e A114876 1, 4/3, 108/125, 442368/2100875, 51200000/2977309629, 52428800000/118890080527911,
               ... = A114876/A114877
%Y A114876 Cf. A114877.
%Y A114876 Sequence in context: A107048 A002109 A076265 this_sequence A037980 A015100 
               A061454
%Y A114876 Adjacent sequences: A114873 A114874 A114875 this_sequence A114877 A114878 
               A114879
%K A114876 easy,frac,nonn
%O A114876 1,2
%A A114876 T. D. Noe (noe(AT)sspectra.com), Jan 03 2006

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