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%I M4557 N1939 #20 Oct 12 2017 03:51:20
%S 8,72,2160,15504,220248,1564920,89324640,640807200,9246847896,
%T 67087213336,1957095947664,14342471475696,211153052281080,
%U 1560676296310488,185256494416099008,1379131680653181504,20598677144877854232
%N Coefficients of Legendre polynomials.
%C Coefficient of Legendre_4(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->(9*(2*n)*(2*n-2)/((2*n+1)*(2*n+3)*(2*n+5)))*numer(binomial(4*n,2*n)/2^(4*n)); # _Sean A. Irvine_, Nov 28 2012
%K nonn
%O 2,1
%A _N. J. A. Sloane_
%E More terms from _Sean A. Irvine_, Nov 28 2012
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