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%I
%S 1,7,163,5191,191251,7665757,324610399,14287393351,647133545107,
%T 29966682138757,1412267381766913,67516263948005341,
%U 3266295503353540399,159606073670867165713,7866072852462175900663
%N Sum[k=0..n, C(n,k)^2*C(n+k,n)*C(n+2k,n)].
%C Coefficients in a simultaneous approximation to zeta(2) and zeta(3).
%H W. Zudilin, <a href="http://arXiv.org/abs/math.NT/0409023">Approximations to -, di and trilogarithms</a>
%F a(n) = (-1)^n * Sum[k=0..n, (-1)^k*C(n, k)*C(n+k, k)^3].
%Y Cf. A005258, A098275.
%K nonn,easy
%O 0,2
%A Ralf Stephan, Sep 03 2004
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