A350776 Nonnegative integers whose balanced ternary expansion has no two consecutive nonzero digits.

0, 1, 3, 8, 9, 10, 24, 26, 27, 28, 30, 71, 72, 73, 78, 80, 81, 82, 84, 89, 90, 91, 213, 215, 216, 217, 219, 233, 234, 235, 240, 242, 243, 244, 246, 251, 252, 253, 267, 269, 270, 271, 273, 638, 639, 640, 645, 647, 648, 649, 651, 656, 657, 658, 699, 701, 702

Offset

1,3

Comments

This sequence is to balanced ternary what A328727 is to ternary.

Links

Table of n, a(n) for n=1..57.

Formula

A350775(n) = 0 iff n belongs to the present sequence.

Example

The first terms, in decimal and in balanced ternary, are:
  n   a(n)  bter(n)
  --  ----  -------
   1     0        0
   2     1        1
   3     3       10
   4     8      10T
   5     9      100
   6    10      101
   7    24     10T0
   8    26     100T
   9    27     1000
  10    28     1001
  11    30     1010
  12    71    10T0T

Prog

(PARI) is(n) = { my (p=0, d); while (n, d=[0, 1, -1][1+n%3]; if (p && d, return (0), n=(n-d)/3; p=d)); 1 }

Crossrefs

Cf. A059095, A328727, A350775.

Sequence in context: A024549 A051208 A211223 * A247544 A080524 A024550

Adjacent sequences: A350773 A350774 A350775 * A350777 A350778 A350779

Keyword

nonn,base

Author

Rémy Sigrist, Jan 15 2022

Status

approved