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A109090 Continued fraction expansion of a = f(1) = f(2) with constant a from A109089 and function f(x) from A109087. +0
5
2, 1, 4, 2, 2, 1, 2, 2, 14, 1, 1, 3, 4, 15, 1, 24, 5, 9, 1, 1, 3, 2, 4, 1, 1, 1, 1, 38, 2, 1, 1, 2, 3, 3, 3, 1, 15, 1, 8, 3, 2, 4, 4, 1, 20, 28, 3, 1, 2, 1, 4, 1, 8, 1, 9, 1, 3, 1, 1, 2, 4, 3, 2, 3, 1, 3, 3, 1, 5, 1, 1, 1, 3, 2, 1, 1, 27, 2, 1, 2, 1, 4, 3, 76, 1, 1, 6, 5, 1, 17, 3, 1, 1, 1, 4, 2, 3, 1, 57, 1 (list; graph; listen)
OFFSET

0,1

FORMULA

a in (a, b) = lim(n->infinity)A^n(1, 1) with A(x, y) = (x+y/x, y/x).

EXAMPLE

a = 2.8155726498893784774595677676731...

PROGRAM

(PARI) N=350; a=1.; b=1; for(i=1, N, b/=a; a+=b); contfrac(a)

CROSSREFS

Cf. A109086, A109088.

Sequence in context: A127124 A127136 A120025 this_sequence A080100 A001176 A136693

Adjacent sequences: A109087 A109088 A109089 this_sequence A109091 A109092 A109093

KEYWORD

cofr,easy,nonn

AUTHOR

Nikolaus Meyberg (Nikolaus.Meyberg(AT)t-online.de), Jun 20 2005

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.


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