Search: id:A007932
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%I A007932
%S A007932 1,2,3,11,12,13,21,22,23,31,32,33,111,112,113,121,122,123,131,132,133,
%T A007932 211,212,213,221,222,223,231,232,233,311,312,313,321,322,323,331,332,
%U A007932 333,1111,1112,1113,1121,1122,1123,1131,1132,1133,1211,1212,1213,1221
%N A007932 Numbers that contain only 1's, 2's and 3's.
%C A007932 This sequence is the alternate number system in base 3. - Robert R. Forslund 
               (forslund(AT)tbaytel.net), Jun 27 2003
%C A007932 a(n) is the "bijective base-k numeration" or "k-adic notation" for k=3. 
               [From Chris Gaconnet (gaconnet(AT)gmail.com), May 27 2009]
%D A007932 K. Atanassov, On the 97-th, 98-th and the 99-th Smarandache Problems, 
               Notes on Number Theory and Discrete Mathematics, Sophia, Bulgaria, 
               Vol. 5 (1999), No. 3, 89-93.
%D A007932 K. Atanassov, On Some of Smarandache's Problems, American Research Press, 
               1999, 16-21.
%D A007932 F. Smarandache, Only Problems, not Solutions!, Xiquan Publ., Phoenix-Chicago, 
               1993.
%D A007932 Robert R. Forslund, A Logical Alternative to the Existing Positional 
               Number System, Southwest Journal of Pure and Applied Mathematics. 
               Vol. 1 1995 pp. 27-29.
%D A007932 James E. Foster, A Number System without a Zero-Symbol, Mathematics Magazine, 
               Vol. 21, No. 1. (1947), pp. 39-41.
%D A007932 A. Salomaa, Formal Languages, Academic Press, 1973. pages 90-91. [From 
               Chris Gaconnet (gaconnet(AT)gmail.com), May 27 2009]
%H A007932 K. Atanassov, <a href="http://www.gallup.unm.edu/~smarandache/Atanassov-SomeProblems.pdf">
               On Some of Smarandache's Problems</a>
%H A007932 Robert R. Forslund, <a href="http://www.emis.de/journals/SWJPAM/Vol1_1995/
               rrf01.ps">A Logical Alternative to the Existing Positional Number 
               System</a>
%H A007932 F. Smarandache, <a href="http://www.gallup.unm.edu/~smarandache/OPNS.pdf">
               Only Problems, Not Solutions!</a>.
%H A007932 EMIS, <a href="http://www.emis.de/journals/SWJPAM/vol1-95.html">Mirror 
               site for Southwest Journal of Pure and Applied Mathematics</a>
%H A007932 Wikipedia, <a href="http://en.wikipedia.org/wiki/Bijective_numeration">
               Bijective numeration</a> [From Chris Gaconnet (gaconnet(AT)gmail.com), 
               May 27 2009]
%t A007932 NextNbr[n_] := Block[{d = IntegerDigits[n + 1], l}, l = Length[d]; While[l 
               != 1, If[ d[[l]] > 3, d[[l - 1]]++; d[[l]] = 1]; l-- ]; If[ d[[1]] 
               > 3, d[[1]] = 11]; FromDigits[d]]; NestList[ NextNbr, 1, 51]
%Y A007932 Sequence in context: A083758 A127494 A130803 this_sequence A035122 A085305 
               A116032
%Y A007932 Adjacent sequences: A007929 A007930 A007931 this_sequence A007933 A007934 
               A007935
%K A007932 nonn,base
%O A007932 1,2
%A A007932 R. Muller
%E A007932 Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 14 
               2002

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