A359268 a(n) is the least k such that A359194(k) = A359194(n).

0, 1, 0, 3, 4, 1, 6, 7, 8, 9, 0, 11, 12, 13, 14, 15, 16, 17, 18, 3, 4, 1, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 6, 7, 8, 9, 0, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69

Offset

0,4

Links

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

Formula

a(n) = 0 iff n belongs to A020988.

a(n) = 1 iff n belongs to A002450 \ {0}.

Example

The first terms, alongside A359194(n), are:
  n   a(n)  A359194(n)
  --  ----  ----------
   0     0           1
   1     1           0
   2     0           1
   3     3           6
   4     4           3
   5     1           0
   6     6          13
   7     7          10
   8     8           7
   9     9           4
  10     0           1
  11    11          30
  12    12          27

Prog

(PARI) b(n) = if(n, bitneg(3*n, exponent(3*n)+1), 1)
a(n) = { my (v=b(n)); while (n, my (x=exponent(n)); if (b(n-2^x)==v, n-=2^x, break)); return (n) }

Crossrefs

Cf. A002450, A020988, A359194, A359259.

Sequence in context: A131226 A286577 A175323 * A255604 A132700 A193794

Adjacent sequences: A359265 A359266 A359267 * A359269 A359270 A359271

Keyword

nonn,base

Author

Rémy Sigrist, Dec 23 2022

Status

approved