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A306874 Lexicographically earliest sequence of distinct positive terms such that the binary representation of the bitwise-OR of two consecutive terms has exactly one run of consecutive zeros. 1
1, 4, 2, 6, 8, 3, 9, 5, 12, 10, 11, 16, 7, 17, 13, 20, 14, 18, 19, 21, 22, 23, 32, 15, 33, 24, 25, 26, 27, 34, 28, 29, 36, 30, 38, 35, 37, 39, 40, 47, 41, 46, 43, 44, 48, 45, 42, 49, 50, 51, 52, 55, 53, 54, 56, 57, 58, 59, 64, 31, 65, 60, 61, 68, 62, 66, 67 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

This sequence is a variant of A306869.

LINKS

Rémy Sigrist, Table of n, a(n) for n = 1..16384

Rémy Sigrist, PARI program for A306874

FORMULA

A087116(a(n) OR a(n+1)) = 1.

EXAMPLE

The first terms, alongside the binary representation of a(n) OR a(n+1), are:

  n   a(n)  bin(a(n) OR a(n+1))

  --  ----  -------------------

   1     1                101

   2     4                110

   3     2                110

   4     6               1110

   5     8               1011

   6     3               1011

   7     9               1101

   8     5               1101

   9    12               1110

  10    10               1011

  11    11              11011

  12    16              10111

  13     7              10111

  14    17              11101

  15    13              11101

PROG

(PARI) See Links section.

CROSSREFS

Cf. A087116, A306869.

Sequence in context: A105365 A077157 A268718 * A114478 A330530 A302659

Adjacent sequences:  A306871 A306872 A306873 * A306875 A306876 A306877

KEYWORD

nonn,base,look

AUTHOR

Rémy Sigrist, Mar 14 2019

STATUS

approved

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Last modified February 28 11:08 EST 2020. Contains 332323 sequences. (Running on oeis4.)