OFFSET
2,1
COMMENTS
Coefficient of Legendre_5(x) when x^n is written in term of Legendre polynomials. - Michel Marcus, May 28 2013
REFERENCES
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 2..200
H. E. Salzer, Coefficients for expressing the first twenty-four powers in terms of the Legendre polynomials, Math. Comp., 3 (1948), 16-18.
MATHEMATICA
Table[(22 n ((2 n - 2) (4 n + 1)) / ((2 n + 1) (2 n + 3) (2 n + 5) (2 n + 7))) Numerator[Binomial[4 n, 2 n] / 2^(4*n)], {n, 2, 20}] (* Vincenzo Librandi, Sep 08 2013 *)
PROG
(PARI) a(n) = (22*n*((2*n-2)*(4*n+1))/((2*n+1)*(2*n+3)*(2*n+5)*(2*n+7)))*numerator(binomial(4*n, 2*n)/2^(4*n)) \\ Michel Marcus, May 29 2013
(Magma) [(22*n*((2*n-2)*(4*n+1))/((2*n+1)*(2*n+3)*(2*n+5)*(2*n+7)))*Numerator(Binomial(4*n, 2*n)/2^(4*n)): n in [2..25]]; // Vincenzo Librandi, Sep 08 2013
CROSSREFS
KEYWORD
nonn
AUTHOR
EXTENSIONS
More terms from Michel Marcus, May 29 2013
STATUS
approved