A362089 The base-3 expansion of a(n) is obtained by inserting a zero before each nonzero digit of the base-3 expansion of n.

0, 1, 2, 3, 10, 11, 6, 19, 20, 9, 28, 29, 30, 91, 92, 33, 100, 101, 18, 55, 56, 57, 172, 173, 60, 181, 182, 27, 82, 83, 84, 253, 254, 87, 262, 263, 90, 271, 272, 273, 820, 821, 276, 829, 830, 99, 298, 299, 300, 901, 902, 303, 910, 911, 54, 163, 164, 165, 496

Offset

0,3

Comments

This sequence is a permutation of A328727.

Links

Table of n, a(n) for n=0..58.

Example

The first terms, in decimal and in base-3, are:
  n   a(n)  ter(n)  ter(a(n))
  --  ----  ------  ---------
   0     0       0          0
   1     1       1          1
   2     2       2          2
   3     3      10         10
   4    10      11        101
   5    11      12        102
   6     6      20         20
   7    19      21        201
   8    20      22        202
   9     9     100        100
  10    28     101       1001
  11    29     102       1002
  12    30     110       1010

Prog

(PARI) a(n) = { if (n==0, 0, n%3, 9*a(n\3) + n%3, 3*a(n/3)); }
(Python)
from gmpy2 import digits
def A362089(n): return int(digits(n, 3).replace('1', '01').replace('2', '02'), 3)
# Chai Wah Wu, Apr 12 2023

Crossrefs

Cf. A007089 (ter(n)), A048678, A328727, A362090.

Sequence in context: A351413 A283436 A225558 * A301382 A288657 A055655

Adjacent sequences: A362086 A362087 A362088 * A362090 A362091 A362092

Keyword

nonn,base

Author

Rémy Sigrist, Apr 08 2023

Status

approved