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%I M2118 N0836 #20 Oct 12 2017 03:51:26
%S 2,20,110,2600,16150,208012,1376550,74437200,511755750,7134913500,
%T 50315410002,1433226830360,10292051290430,148889972762300,
%U 1083802983548950,126935005433253024,933787075442258310,13799767368300523260
%N Coefficients of Legendre polynomials.
%C Coefficient of Legendre_2(x) when x^n is written in term of Legendre polynomials. - _Sean A. Irvine_, Nov 28 2012
%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H H. E. Salzer, <a href="http://dx.doi.org/10.1090/S0025-5718-1948-0023123-5">Coefficients for expressing the first twenty-four powers in terms of the Legendre polynomials</a>, Math. Comp., 3 (1948), 16-18.
%p a:=n->(10*n/((2*n+1)*(2*n+3)))*numer(binomial(4*n,2*n)/2^(4*n)); # _Sean A. Irvine_, Nov 28 2012
%K nonn
%O 1,1
%A _N. J. A. Sloane_
%E More terms from _Sean A. Irvine_, Nov 28 2012
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