login
This site is supported by donations to The OEIS Foundation.
Logo

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A001801 Coefficients of Legendre polynomials.
(Formerly M3001 N1216)
6
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)
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. 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).

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].

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: A145624 A025547 A088989 * A067546 A015682 A189919

Adjacent sequences:  A001798 A001799 A001800 * A001802 A001803 A001804

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from Michael Somos, Oct 25, 2002

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified February 17 23:08 EST 2012. Contains 206085 sequences.