A001801 - OEIS

A001801

Coefficients of Legendre polynomials.
(Formerly M3001 N1216)

3, 15, 105, 315, 6930, 18018, 90090, 218790, 2078505, 4849845, 22309287, 50702925, 1825305300, 4071834900, 18032411700, 39671305740, 347123925225, 755505013725, 3273855059475, 7064634602025, 121511715154830

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OFFSET

0,1

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. Prévost, Tables de Fonctions Sphériques. 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).

LINKS

Table of n, a(n) for n=0..20.

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].

M. Janjic, Some classes of numbers and derivatives, JIS 12 (2009) 09.8.3

PROG

(PARI) a(n)=if(n<0, 0, polcoeff(pollegendre(n+4), n)*2^valuation((n\2*2+4)!, 2))

CROSSREFS

Cf. A001790, A001800, A008316.

Bisection of A004733.

Diagonal 3 of triangle A100258.

Sequence in context: A376054 A220747 A088989 * A323551 A267840 A067546

Adjacent sequences: A001798 A001799 A001800 * A001802 A001803 A001804

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Michael Somos, Oct 25 2002

STATUS

approved