A164629 - OEIS

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A164629

Expansion of phi (golden ratio) in base 5.

1, 3, 0, 2, 1, 1, 1, 3, 4, 2, 3, 0, 4, 1, 2, 0, 2, 4, 2, 2, 3, 1, 4, 4, 3, 1, 1, 4, 0, 2, 0, 4, 0, 2, 1, 2, 1, 1, 1, 0, 3, 3, 1, 3, 3, 0, 4, 0, 0, 4, 0, 2, 4, 1, 0, 2, 2, 3, 0, 1, 1, 0, 4, 3, 4, 2, 2, 2, 1, 4, 4, 2, 1, 2, 1, 1, 4, 4, 3, 2, 2, 2, 1, 0, 3, 1, 2, 4, 1, 0

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

OFFSET

1,2

LINKS

Table of n, a(n) for n=1..90.

MATHEMATICA

RealDigits[(1 + Sqrt[5])/2, 5, 90]

RealDigits[GoldenRatio, 5, 120][[1]] (* Harvey P. Dale, Jan 19 2021 *)

PROG

(PARI) default(realprecision, 1000); x=(1+sqrt(5))/2;

for(n=1, 100, d=floor(x); x=(x-d)*5; print1(d, ", ")); \\ Jinyuan Wang, Mar 21 2020

(PARI) a(n) = floor(quadgen(5)*5^(n-1))%5 \\ Chittaranjan Pardeshi, Feb 06 2023