A105108 Write numbers in ternary under each other; to get the next block of 3^k (k >= 0) terms of the sequence, start at 3^k, read diagonals in upward direction and convert to decimal.

0, 1, 2, 5, 3, 4, 8, 6, 7, 16, 11, 9, 10, 14, 12, 13, 17, 15, 25, 20, 18, 19, 23, 21, 22, 26, 24, 51, 34, 29, 27, 28, 32, 30, 31, 35, 33, 43, 38, 36, 37, 41, 39, 40, 44, 42, 52, 47, 45, 46, 50, 48, 49, 53, 78, 61, 56, 54, 55, 59, 57, 58, 62, 60, 70, 65, 63, 64, 68, 66, 67, 71, 69

Offset

0,3

Comments

This is a permutation of the nonnegative integers.

Links

Table of n, a(n) for n=0..72.

David Applegate, Benoit Cloitre, Philippe Deléham and N. J. A. Sloane, Sloping binary numbers: a new sequence related to the binary numbers [pdf, ps].

David Applegate, Benoit Cloitre, Philippe Deléham and N. J. A. Sloane, Sloping binary numbers: a new sequence related to the binary numbers, J. Integer Seq. 8 (2005), no. 3, Article 05.3.6, 15 pp.

Example

..0
..1
..2
.10
.11
.12
.20
.21
.22
100 <- Starting here, the upward diagonals
101 read 121,102,100,..., giving 16,11,9,...
102

Crossrefs

Cf. A105027.

Sequence in context: A105530 A370932 A245815 * A118460 A064788 A099521

Adjacent sequences: A105105 A105106 A105107 * A105109 A105110 A105111

Keyword

nonn,base

Author

John W. Layman, Apr 07 2005

Status

approved