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Coefficients of Legendre polynomials.
(Formerly M3072 N1246)
0

%I M3072 N1246 #17 Feb 02 2015 03:48:42

%S 1,3,20,35,126,231,3432,6435,24310,46189,352716,676039,2600150,

%T 5014575,155117520,300540195,1166803110,2268783825,17672631900,

%U 34461632205,134564468610,263012370465,4116715363800,8061900920775,31602651609438,61989816618513,486734856412028

%N Coefficients of Legendre polynomials.

%D A. Fletcher, J. C. P. Miller, L. Rosenhead and L. J. Comrie, An Index of Mathematical Tables. Vols. 1 and 2, 2nd ed., Blackwell, Oxford and Addison-Wesley, Reading, MA, 1962, Vol. 1, p. 362.

%D G. Prévost, Tables de Fonctions Sphériques. Gauthier-Villars, Paris, 1933, pp. 156-157.

%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).

%F 1 if n=2, n * |A002596(n)| else. - _Ralf Stephan_, Sep 01 2003

%o (PARI) a(n) = if (n==2, 1, n*abs(numerator((1/(1-2*n))*binomial(2*n,n)/(4^n)))); \\ _Michel Marcus_, Feb 02 2015

%K nonn

%O 2,2

%A _N. J. A. Sloane_

%E More terms from _Michel Marcus_, Feb 02 2015