A001799 Coefficients of Legendre polynomials. (Formerly M4557 N1939)

8, 72, 2160, 15504, 220248, 1564920, 89324640, 640807200, 9246847896, 67087213336, 1957095947664, 14342471475696, 211153052281080, 1560676296310488, 185256494416099008, 1379131680653181504, 20598677144877854232

Offset

2,1

Comments

Coefficient of Legendre_4(x) when x^n is written in term of Legendre polynomials. - Sean A. Irvine, Nov 28 2012

References

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Table of n, a(n) for n=2..18.

H. E. Salzer, Coefficients for expressing the first twenty-four powers in terms of the Legendre polynomials, Math. Comp., 3 (1948), 16-18.

Maple

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

Crossrefs

Sequence in context: A242597 A339469 A241032 * A205505 A058068 A096873

Adjacent sequences: A001796 A001797 A001798 * A001800 A001801 A001802

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Sean A. Irvine, Nov 28 2012

Status

approved