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A001795 Coefficients of Legendre polynomials.
(Formerly M4407 N1861)
6
1, 1, 7, 33, 715, 4199, 52003, 334305, 17678835, 119409675, 1641030105, 11435320455, 322476036831, 2295919134019, 32968493968795, 238436656380769, 27767032438524099, 203236010537432691, 2989949596465113373 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Numerators in expansion of sqrt(c(x)), c(x) the g.f. of A000108. - Paul Barry, Jul 12 2005

Coefficient of Legendre_0(x) when x^n is written in term of Legendre polynomials. - Michel Marcus, May 28 2013

REFERENCES

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

T. D. Noe, Table of n, a(n) for n=0..100

H. E. Salzer, Coefficients for expressing the first twenty-four powers in terms of the Legendre polynomials, Math. Comp., 3 (1948), 16-18.

FORMULA

1/(sqrt(1-x)+sqrt(1+x)) = sum(n=0, inf, (a(n)/b(n))*x^(2n)) where b(n) is a power of 2. - Benoit Cloitre, Mar 12 2002

For n>=1, 2^(n+1)*a(2^(n-1))=A001791(2^n). [Vladimir Shevelev, Sep 05 2010]

CROSSREFS

Divisor of A048990 and A065097. Apparently a bisection of A002596.

Bisection of A099024.

Cf. A000108, A001791.

Sequence in context: A202762 A202757 A266018 * A209897 A209814 A117663

Adjacent sequences:  A001792 A001793 A001794 * A001796 A001797 A001798

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Benoit Cloitre, Mar 12 2002

STATUS

approved

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Last modified December 11 21:15 EST 2017. Contains 295919 sequences.