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A001800
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Coefficients of Legendre polynomials.
(Formerly M3123 N1266)
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5
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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; refs; listen; history; internal format)
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OFFSET
| 0,2
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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].
Eric Weisstein's World of Mathematics, MathWorld page, eq. 28.
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FORMULA
| (n+1) * C(2n+2, n+1) / 2^[A000120(n+2)].
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PROG
| (PARI) a(n)=if(n<0, 0, -polcoeff(pollegendre(n), n-2)*2^valuation((n\2*2)!, 2))
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CROSSREFS
| Cf. A001790, A001801, A008316.
Cf. A001803.
Diagonal 2 of triangle A100258.
Sequence in context: A061472 A132084 A012009 * A152767 A195029 A180816
Adjacent sequences: A001797 A001798 A001799 * A001801 A001802 A001803
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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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