A109090 Continued fraction expansion of a = f(1) = f(2) with constant a from A109089 and function f(x) from A109087.

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

Offset

0,1

Links

Table of n, a(n) for n=0..99.

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...

Prog

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

Crossrefs

Cf. A109086, A109088.

Sequence in context: A245025 A257495 A120025 * A220780 A323915 A080100

Adjacent sequences: A109087 A109088 A109089 * A109091 A109092 A109093

Keyword

cofr,easy,nonn

Author

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

Status

approved