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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: 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

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Last modified May 30 23:13 EDT 2023. Contains 363061 sequences. (Running on oeis4.)