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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.
2
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
OFFSET
0,3
LINKS
EXAMPLE
The first terms, alongside their base phi representation, are:
n a(n) phi(a(n))
-- ---- -------------
0 0 0
1 1 1
2 2 10.01
3 5 1000.1001
4 3 100.01
5 6 1010.0001
6 4 101.01
7 7 10000.0001
8 12 100000.101001
9 8 10001.0001
10 13 100010.001001
PROG
(PARI) \\ See Links section.
CROSSREFS
Cf. A109812 (binary analog), A330984.
Sequence in context: A037852 A367433 A226214 * A160516 A341492 A264105
KEYWORD
nonn,base
AUTHOR
Rémy Sigrist, Apr 23 2020
STATUS
approved