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A001799 Coefficients of Legendre polynomials.
(Formerly M4557 N1939)
0
8, 72, 2160, 15504, 220248, 1564920, 89324640, 640807200, 9246847896, 67087213336, 1957095947664, 14342471475696, 211153052281080, 1560676296310488, 185256494416099008, 1379131680653181504, 20598677144877854232 (list; graph; refs; listen; history; text; internal format)
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: A138433 A242597 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

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Last modified September 18 10:31 EDT 2020. Contains 337166 sequences. (Running on oeis4.)