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 A006279 Denominators of convergents to Cahen's constant: a(n+2) = a(n)^2*a(n+1) + a(n). (Formerly M0914) 6
 1, 1, 2, 3, 14, 129, 25298, 420984147, 269425140741515486, 47749585090209528873482531562977121 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS 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 REFERENCES N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS J. L. Davison, Jeffrey Shallit, Continued Fractions for Some Alternating Series, Monatsh. Math., 111 (1991), 119-126. MAPLE A006279 := proc(n) options remember; if n <= 1 then RETURN(1) else A006279(n-2)^2*A006279(n-1)+A006279(n-2); fi; end; CROSSREFS Cf. A118227, A006280, A006281. Sequence in context: A203761 A154750 A041167 * A041521 A101003 A042071 Adjacent sequences:  A006276 A006277 A006278 * A006280 A006281 A006282 KEYWORD nonn,easy AUTHOR EXTENSIONS Definition clarified by Jonathan Sondow, Aug 20 2014 STATUS approved

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