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Search: id:A001795
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| A001795 |
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Coefficients of Legendre polynomials.
(Formerly M4407 N1861)
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+0
4
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| 1, 1, 7, 33, 715, 4199, 52003, 334305, 17678835, 119409675, 1641030105, 11435320455, 322476036831, 2295919134019, 32968493968795, 238436656380769, 27767032438524099, 203236010537432691, 2989949596465113373
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Numerators in expansion of sqrt(c(x)), c(x) the g.f. of A000108. - Paul Barry (pbarry(AT)wit.ie), Jul 12 2005
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
H. E. Salzer, Coefficients for expressing the first twenty-four powers in terms of the Legendre polynomials, Math. Comp., 3 (1948), 16-18.
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FORMULA
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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 (benoit7848c(AT)orange.fr), Mar 12 2002
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CROSSREFS
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Divisor of A048990 and A065097. Apparently a bisection of A002596.
Bisection of A099024.
Sequence in context: A054256 A085636 A064306 this_sequence A117663 A063166 A024817
Adjacent sequences: A001792 A001793 A001794 this_sequence A001796 A001797 A001798
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Benoit Cloitre (benoit7848c(AT)orange.fr), Mar 12 2002
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