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 A330984 Lexicographically earliest sequence of distinct nonnegative integers such that for any n >= 0, n and a(n) have no common 1 in their base phi representations. 2
 0, 2, 1, 5, 6, 3, 4, 12, 13, 14, 16, 17, 7, 8, 9, 34, 10, 11, 30, 31, 32, 35, 36, 33, 37, 41, 42, 43, 45, 46, 18, 19, 20, 23, 15, 21, 22, 24, 88, 89, 92, 25, 26, 27, 81, 28, 29, 77, 78, 79, 82, 83, 80, 84, 90, 93, 91, 94, 106, 85, 86, 95, 96, 87, 97, 107, 108 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS This sequence is a self-inverse permutation of the nonnegative integers. LINKS Rémy Sigrist, Table of n, a(n) for n = 0..10000 Rémy Sigrist, PARI program for A330984 Wikipedia, Golden ratio base EXAMPLE The first terms, alongside the base phi representations of n and of a(n), are:   n   a(n)  phi(n)      phi(a(n))   --  ----  ----------  -------------    0     0      0            0    1     2      1           10.01    2     1     10.01         1    3     5    100.01      1000.1001    4     6    101.01      1010.0001    5     3   1000.1001     100.01    6     4   1010.0001     101.01    7    12  10000.0001  100000.101001    8    13  10001.0001  100010.001001    9    14  10010.0101  100100.001001   10    16  10100.0101  101000.100001 PROG (PARI) See Links section. CROSSREFS Cf. A238757 (binary analog), A331212. Sequence in context: A067311 A341487 A162750 * A075680 A192024 A249283 Adjacent sequences:  A330981 A330982 A330983 * A330985 A330986 A330987 KEYWORD nonn,base AUTHOR Rémy Sigrist, Apr 23 2020 STATUS approved

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Last modified September 17 06:16 EDT 2021. Contains 347478 sequences. (Running on oeis4.)