A331212 - OEIS

A331212

Lexicographically earliest sequence of distinct nonnegative integers such that for any n >= 0, a(n) and a(n+1) have no common 1 in their base phi representations.

0, 1, 2, 5, 3, 6, 4, 7, 12, 8, 13, 10, 16, 9, 14, 34, 11, 17, 30, 18, 31, 19, 32, 20, 33, 23, 36, 15, 35, 21, 37, 24, 39, 88, 22, 41, 25, 42, 26, 43, 27, 44, 81, 28, 45, 29, 46, 77, 47, 78, 48, 79, 49, 80, 52, 83, 50, 82, 51, 89, 40, 92, 38, 90, 53, 84, 59, 85

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

OFFSET

0,3

LINKS

Rémy Sigrist, Table of n, a(n) for n = 0..10000

Rémy Sigrist, PARI program for A331212

Wikipedia, Golden ratio base

EXAMPLE

The first terms, alongside their base phi representation, are:

n a(n) phi(a(n))

-- ---- -------------

0 0 0