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

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

Crossrefs

Cf. A001622, A004714.

Sequence in context: A092926 A052311 A181786 * A100950 A359867 A021335

Adjacent sequences: A164626 A164627 A164628 * A164630 A164631 A164632

Keyword

nonn,base,cons

Author

Keith Rarick, Dan McCandless (kr(AT)xph.us), Aug 18 2009

Status

approved