Search: id:A126616
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%I A126616
%S A126616 1,2,3,4,5,6,7,8,9,1,1,1,1,1,1,1,1,1,1,2,1,2,1,2,1,2,1,2,1,3,2,1,3,2,1,
%T A126616 3,2,1,3,4,2,1,3,4,2,1,3,4,2,5,1,3,4,2,5,1,3,4,2,6,5,1,3,4,2,6,5,1,3,7,
%U A126616 4,2,6,5,1,3,7,4,2,8,6,5,1,3,7,4,2,8,6,9,5,1,3,7,4,2,8,6,9,1,5,1,3,7,4
%N A126616 A self-generating sequence: Let A = (a(1), a(2), ...) be the sequence. 
               A is characterized by the properties that (i) a(i) = i for i = 1..9; 
               (ii) if the terms a(10), a(20), a(30), ... are deleted, the remaining 
               sequence is the same as A; (iii) the deleted terms also form the 
               sequence A.
%C A126616 Invented by Eric Angelini. Might also be called a lizard sequence (une 
               suite du l\'{e}zard) because it grows back from its tail.
%D A126616 J.-P. Delahaye, Inventiones \`{a} suivre, Pour la Science, No. 353, 2007.
%p A126616 A126616 := proc(n) option remember ; if n < 10 then n ; elif n mod 10 
               = 0 then A126616(n/10) ; else A126616( n-floor(n/10) ) ; fi ; end: 
               seq(A126616(n),n=1..120) ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Oct 02 2007
%Y A126616 Cf. A117943.
%Y A126616 Sequence in context: A075877 A133500 A052423 this_sequence A121042 A000030 
               A134777
%Y A126616 Adjacent sequences: A126613 A126614 A126615 this_sequence A126617 A126618 
               A126619
%K A126616 nonn,easy
%O A126616 1,2
%A A126616 N. J. A. Sloane (njas(AT)research.att.com), Feb 09 2007
%E A126616 More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 02 2007

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