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Search: id:A001800
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| A001800 |
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Coefficients of Legendre polynomials.
(Formerly M3123 N1266)
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+0
6
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| 1, 3, 30, 70, 315, 693, 12012, 25740, 109395, 230945, 1939938, 4056234, 16900975, 35102025, 1163381400, 2404321560, 9917826435, 20419054425, 167890003050, 344616322050, 1412926920405, 2893136075115, 47342226683700
(list; graph; listen)
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OFFSET
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0,2
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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].
Eric Weisstein's World of Mathematics, MathWorld page, eq. 28.
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FORMULA
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(n+1) * C(2n+2, n+1) / 2^[A000120(n+2)].
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PROGRAM
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(PARI) a(n)=if(n<0, 0, -polcoeff(pollegendre(n), n-2)*2^valuation((n\2*2)!, 2))
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CROSSREFS
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Cf. A001790, A001801, A008316.
Cf. A001803.
Diagonal 2 of triangle A100258.
Sequence in context: A061472 A132084 A012009 this_sequence A152767 A035328 A100259
Adjacent sequences: A001797 A001798 A001799 this_sequence A001801 A001802 A001803
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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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