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A001801
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Coefficients of Legendre polynomials.
(Formerly M3001 N1216)
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6
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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; refs; listen; history; internal format)
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OFFSET
| 0,1
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REFERENCES
| 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.
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).
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LINKS
| 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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PROG
| (PARI) a(n)=if(n<0, 0, polcoeff(pollegendre(n+4), n)*2^valuation((n\2*2+4)!, 2))
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CROSSREFS
| Cf. A001790, A001800, A008316.
Bisection of A004733.
Diagonal 3 of triangle A100258.
Sequence in context: A145624 A025547 A088989 * A067546 A015682 A189919
Adjacent sequences: A001798 A001799 A001800 * A001802 A001803 A001804
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Michael Somos, Oct 25, 2002
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