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A006279
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Denominators of convergents to Cahen's constant: a(n+2) = a(n)^2*a(n+1) + a(n).
(Formerly M0914)
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6
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OFFSET
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0,3
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COMMENTS
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Shifted square roots of partial quotients in continued fraction expansion of Cahen's constant: a(n) = sqrt(A006279(n+2)). - Jonathan Sondow, Aug 20 2014
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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).
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LINKS
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Table of n, a(n) for n=0..9.
J. L. Davison, Jeffrey Shallit, Continued Fractions for Some Alternating Series, Monatsh. Math., 111 (1991), 119-126.
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MAPLE
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A006279 := proc(n) options remember; if n <= 1 then RETURN(1) else A006279(n-2)^2*A006279(n-1)+A006279(n-2); fi; end;
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CROSSREFS
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Cf. A118227, A006280, A006281.
Sequence in context: A041167 A294380 A308128 * A041521 A101003 A042071
Adjacent sequences: A006276 A006277 A006278 * A006280 A006281 A006282
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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Definition clarified by Jonathan Sondow, Aug 20 2014
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STATUS
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approved
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