A109089 - OEIS

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A109089

Decimal expansion of a = f(1) = f(2) with function f(x) from A109087.

2, 8, 1, 5, 5, 7, 2, 6, 4, 9, 8, 8, 9, 3, 7, 8, 4, 7, 7, 4, 5, 9, 5, 6, 7, 7, 6, 7, 6, 7, 3, 1, 6, 9, 3, 7, 6, 1, 1, 0, 8, 2, 0, 2, 7, 0, 7, 5, 7, 1, 1, 6, 6, 0, 1, 9, 9, 9, 3, 5, 7, 2, 5, 3, 2, 7, 2, 5, 1, 7, 4, 7, 0, 4, 7, 1, 8, 8, 6, 7, 1, 1, 0, 5, 5, 8, 9, 1, 5, 1, 2, 8, 1, 6, 0, 1, 7, 9, 9, 6, 8, 2, 5, 3, 2

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OFFSET

1,1

COMMENTS

Continued fraction expansion of a is in A109090. Conjecture: a is transcendental.

LINKS

Table of n, a(n) for n=1..105.

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