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%I M3116 N1263 #30 Feb 04 2022 08:14:19
%S 1,3,27,143,3315,20349,260015,1710855,92116035,631165425,8775943605,
%T 61750730457,1755702867191,12587970424449,181858466731095,
%U 1322239639929719,154702037871777123,1137023085979691001,16789716964765636633
%N Coefficients of Legendre polynomials.
%C Numerators in expansion of c(x)^(3/2), c(x) the g.f. of A000108. - _Gerald McGarvey_, Oct 07 2008
%C Coefficient of Legendre_1(x) when x^n is written in term of Legendre polynomials. - _Michel Marcus_, May 28 2013
%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.
%F Numerators of g.f. ((1-sqrt(1-4*x))/(2*x))^(3/2). - _Sean A. Irvine_, Nov 27 2012
%o (PARI) my(x='x+O('x^30)); apply(numerator, Vec(((1-sqrt(1-4*x))/(2*x))^(3/2))) \\ _Michel Marcus_, Feb 04 2022
%Y Cf. A000108.
%K nonn
%O 0,2
%A _N. J. A. Sloane_
%E More terms from _Sean A. Irvine_, Nov 27 2012
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