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%I M2149 N0856 #20 Oct 12 2017 03:51:23
%S 2,28,182,4760,31654,428260,2941470,163761840,1152562950,16381761396,
%T 117402623338,3390322778024,24634522766126,360043025043380,
%U 2644479279859438,312191499849352032,2312918756095439814,34398444513178377492
%N Coefficients of Legendre polynomials.
%C Coefficient of Legendre_3(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->(14*n/((2*n+3)*(2*n+5)))*numer(binomial(4*n+2,2*n+1)/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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