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A346516 A variant of Van Eck's sequence: For n >= 0, a(n+1) is the result of combining by XOR the numbers k such that k < n and a(k) = a(n). Start with a(0)=0. 2
0, 0, 0, 1, 0, 3, 0, 7, 0, 1, 3, 5, 0, 9, 0, 5, 11, 0, 11, 16, 0, 26, 0, 14, 0, 24, 0, 0, 26, 21, 0, 1, 10, 0, 31, 0, 62, 0, 29, 0, 56, 0, 31, 34, 0, 54, 0, 26, 9, 13, 0, 52, 0, 6, 0, 50, 0, 4, 0, 60, 0, 6, 53, 0, 58, 0, 5, 4, 57, 0, 68, 0, 1, 21, 29, 38, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

COMMENTS

XOR denotes the bitwise XOR operator.

This sequence is unbounded, and contains infinitely many 0's.

LINKS

Rémy Sigrist, Table of n, a(n) for n = 0..8192

Rémy Sigrist, Scatterplot of the first 2^20 terms

EXAMPLE

The first terms, alongside the corresponding k's, are:

  n   a(n)  k's

  --  ----  --------------------

   0     0  None

   1     0  0

   2     0  0, 1

   3     1  None

   4     0  0, 1, 2

   5     3  None

   6     0  0, 1, 2, 4

   7     7  None

   8     0  0, 1, 2, 4, 6

   9     1  3

  10     3  5

  11     5  None

  12     0  0, 1, 2, 4, 6, 8

  13     9  None

  14     0  0, 1, 2, 4, 6, 8, 12

  15     5  11

PROG

(PARI) { p=vector(123); v=0; for (n=0, 76, print1(v", "); w=p[1+v]; p[1+v]=bitxor(p[1+v], n); v=w) }

CROSSREFS

Cf. A181391, A348080.

Sequence in context: A137436 A099893 A135534 * A337767 A249904 A324875

Adjacent sequences:  A346513 A346514 A346515 * A346517 A346518 A346519

KEYWORD

nonn,base

AUTHOR

Rémy Sigrist, Sep 27 2021

STATUS

approved

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Last modified August 18 19:12 EDT 2022. Contains 356215 sequences. (Running on oeis4.)