A113555 - OEIS

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

(list; graph; refs; listen; history; text; internal format)

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