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Search: id:A001801
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| A001801 |
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Coefficients of Legendre polynomials.
(Formerly M3001 N1216)
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+0
7
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| 3, 15, 105, 315, 6930, 18018, 90090, 218790, 2078505, 4849845, 22309287, 50702925, 1825305300, 4071834900, 18032411700, 39671305740, 347123925225, 755505013725, 3273855059475, 7064634602025, 121511715154830
(list; graph; listen)
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OFFSET
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0,1
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 798.
G. Pr\'{e}vost, Tables de Fonctions Sph\'{e}riques. Gauthier-Villars, Paris, 1933, pp. 156-157.
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LINKS
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M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
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PROGRAM
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(PARI) a(n)=if(n<0, 0, polcoeff(pollegendre(n+4), n)*2^valuation((n\2*2+4)!, 2))
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CROSSREFS
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Cf. A001790, A001800, A008316.
Bisection of A004733.
Diagonal 3 of triangle A100258.
Sequence in context: A145624 A025547 A088989 this_sequence A067546 A015682 A001147
Adjacent sequences: A001798 A001799 A001800 this_sequence A001802 A001803 A001804
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Michael Somos, Oct 25, 2002
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