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.

%I A105108 #12 May 04 2020 09:33:00
%S A105108 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,
%T A105108 24,51,34,29,27,28,32,30,31,35,33,43,38,36,37,41,39,40,44,42,52,47,45,
%U A105108 46,50,48,49,53,78,61,56,54,55,59,57,58,62,60,70,65,63,64,68,66,67,71,69
%N 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.
%C A105108 This is a permutation of the nonnegative integers.
%H A105108 David Applegate, Benoit Cloitre, Philippe Deléham and N. J. A. Sloane, Sloping binary numbers: a new sequence related to the binary numbers [<a href="http://neilsloane.com/doc/slopey.pdf">pdf</a>, <a href="http://neilsloane.com/doc/slopey.ps">ps</a>].
%H A105108 David Applegate, Benoit Cloitre, Philippe Deléham and N. J. A. Sloane, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL8/Sloane/sloane300.html">Sloping binary numbers: a new sequence related to the binary numbers</a>, J. Integer Seq. 8 (2005), no. 3, Article 05.3.6, 15 pp.
%e A105108 ..0
%e A105108 ..1
%e A105108 ..2
%e A105108 .10
%e A105108 .11
%e A105108 .12
%e A105108 .20
%e A105108 .21
%e A105108 .22
%e A105108 100 <- Starting here, the upward diagonals
%e A105108 101 read 121,102,100,..., giving 16,11,9,...
%e A105108 102
%Y A105108 Cf. A105027.
%K A105108 nonn,base
%O A105108 0,3
%A A105108 _John W. Layman_, Apr 07 2005