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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

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.

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

N. J. A. Sloane.

EXTENSIONS

Definition clarified by Jonathan Sondow, Aug 20 2014

STATUS

approved

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Last modified December 7 07:15 EST 2016. Contains 278841 sequences.