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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 * A336277 A209897 A209814 Adjacent sequences:  A001792 A001793 A001794 * A001796 A001797 A001798 KEYWORD nonn AUTHOR EXTENSIONS More terms from Benoit Cloitre, Mar 12 2002 STATUS approved

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Last modified September 25 23:23 EDT 2020. Contains 337346 sequences. (Running on oeis4.)