A105027 -id:A105027 - cp's OEIS frontend

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

John W. Layman, Apr 07 2005

This is a permutation of the nonnegative integers.

			..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

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.

Cf. A105027.

A105153 Consider trajectory of n under repeated application of map k -> A105025(k); a(n) = length of cycle.

Original entry on oeis.org

1, 1, 2, 2, 1, 2, 1, 2, 4, 2, 2, 4, 4, 2, 2, 4, 4, 1, 4, 4, 4, 1, 4, 4, 4, 1, 4, 4, 4, 1, 4, 4, 4, 4, 8, 4, 4, 4, 4, 8, 4, 4, 8, 4, 4, 4, 4, 8, 4, 4, 8, 4, 4, 4, 4, 8, 4, 4, 8, 4, 4, 4, 4, 8, 2, 16, 8, 4, 2, 4, 8, 16, 2, 16, 8, 4, 2, 4, 8, 16, 2, 16, 8, 4, 2, 4, 8, 16, 2, 16, 8, 4, 2, 4, 8, 16, 2, 16, 8, 4, 2

Offset: 0

Philippe Deléham, Apr 30 2005

Why is this always a power of 2?

Reinhard Zumkeller, Table of n, a(n) for n = 0..10000
David Applegate, Benoit Cloitre, Philippe Deléham and N. J. A. Sloane, Sloping binary numbers: a new sequence related to the binary numbers [pdf, ps].

Positions of 1's: A105271.

Cf. A102370, A105025, A105027, A105154.

a105153 n = t [n] where
   t xs@(x:_) | y `elem` xs = length xs
              | otherwise   = t (y : xs) where y = a105025 x
-- Reinhard Zumkeller, Jul 21 2012

More terms from R. J. Mathar, Aug 10 2007

cp's OEIS Frontend

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.

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