A114760 n-th digit after decimal point of the successive approximations to phi = .618...; equally, n-th digit after decimal point of F(n)/F(n+1).

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

Offset

1,3

Links

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

Example

1/1 = 1.0
1/2 = 0.50
2/3 = 0.666...
3/5 = 0.6000...
5/8 = 0.62500
8/13 = 0.615384...
13/21 = 0.6190476...

Mathematica

f[n_] := RealDigits[ Fibonacci[n]/Fibonacci[n + 1], 10, 111][[1, n]]; Array[f, 105] (* Robert G. Wilson v *)

Crossrefs

Sequence in context: A228532 A019956 A212720 * A261508 A344182 A217219

Adjacent sequences: A114757 A114758 A114759 * A114761 A114762 A114763

Keyword

base,nonn

Author

Amarnath Murthy, Nov 17 2005

Extensions

More terms from Robert G. Wilson v, Jan 03 2006

Status

approved