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A308073 Lexicographically earliest sequence of positive terms such that for any distinct m and n, a(m) + dup(a(m+1)) <> a(n) + dup(a(n+1)) (where dup corresponds to A020330). 2
1, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 1, 7, 1, 8, 2, 2, 3, 2, 4, 2, 5, 2, 6, 3, 4, 3, 5, 3, 6, 4, 4, 5, 4, 6, 5, 5, 6, 6, 7, 3, 7, 4, 7, 5, 7, 6, 8, 3, 8, 4, 8, 5, 8, 6, 9, 3, 9, 4, 9, 5, 9, 6, 10, 3, 10, 7, 7, 8, 7, 9, 7, 10, 8, 8, 9, 8, 10, 9, 9, 10, 10, 11, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Rémy Sigrist, Table of n, a(n) for n = 1..10000

EXAMPLE

The first terms, alongside a(n) + dup(a(n+1)), are:

  n   a(n)  a(n)+dup(a(n+1))

  --  ----  ----------------

   1     1                 4

   2     1                11

   3     2                 5

   4     1                16

   5     3                 6

   6     1                37

   7     4                 7

   8     1                46

   9     5                 8

  10     1                55

PROG

(PARI) s=0; v=1; for(n=1, 84, print1(v", "); for (w=1, oo, if (!bittest(s, x=v+w*(1+2^#binary(w))), s+=2^x; v=w; break)))

CROSSREFS

See A308057 for other variants.

Cf. A020330.

Sequence in context: A162520 A342703 A249068 * A090331 A338759 A229994

Adjacent sequences:  A308070 A308071 A308072 * A308074 A308075 A308076

KEYWORD

nonn,look,base

AUTHOR

Rémy Sigrist, May 11 2019

STATUS

approved

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Last modified January 26 23:54 EST 2022. Contains 350601 sequences. (Running on oeis4.)