A113555 n-th digit after decimal of the successive approximation of the golden ratio. n-th digit after decimal of F(n+1)/F(n).

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

Offset

1,4

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

Example

a(7) = 6, F(8)/F(7) =21/13 = 1.615384 6 153846153846153846153846...

Mathematica

i = 1; While[i < 100, Print[N[Fibonacci[i + 1]/Fibonacci[i], i + 4]] i++ ] (McVey)
Array[Function[n, RealDigits[N[Fibonacci[n + 1]/Fibonacci[n], n+3]] // (#[[1, #[[2]] + n]]) &], 100] (* G. C. Greubel, Aug 31 2018 *)
Join[{0}, Table[RealDigits[Fibonacci[n+1]/Fibonacci[n], 10, 200][[1]][[n+1]], {n, 2, 100}]] (* Harvey P. Dale, Mar 02 2023 *)

Crossrefs

Sequence in context: A261508 A344182 A217219 * A066604 A081550 A252244

Adjacent sequences: A113552 A113553 A113554 * A113556 A113557 A113558

Keyword

base,easy,nonn

Author

Amarnath Murthy, Nov 06 2005

Extensions

More terms from Ryan McVey (rwm185(AT)psu.edu), Jan 24 2006

Status

approved