Search: id:A001468
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%I A001468 M0099 N0036
%S A001468 1,2,1,2,2,1,2,1,2,2,1,2,2,1,2,1,2,2,1,2,1,2,2,1,2,2,1,2,1,2,2,
%T A001468 1,2,2,1,2,1,2,2,1,2,1,2,2,1,2,2,1,2,1,2,2,1,2,1,2,2,1,2,2,1,2,
%U A001468 1,2,2,1,2,2,1,2,1,2,2,1,2,1,2,2,1,2,2,1,2,1,2,2,1,2,2,1,2,1,2
%N A001468 There are a(n) 2's between successive 1's.
%C A001468 Another version of the infinite Fibonacci word. See A003849 for the standard 
               form.
%C A001468 Start with 1, apply 1->12, 2->122, take limit . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), 
               Sep 23 2005
%D A001468 M. Bunder and K. Tognetti, On the self matching properties of [j tau], 
               Discrete Math., 241 (2001), 139-151.
%D A001468 D. Gault and M. Clint, "Curiouser and curiouser" said Alice. Further 
               reflections on an interesting recursive function, Internat. J. Computer 
               Math., 26 (1988), 35-43.
%D A001468 D. R. Hofstadter, personal communication.
%D A001468 Problem E1226, Amer. Math. Monthly, 64 (1957), 197-198.
%D A001468 Problem 4247, Amer. Math. Monthly, 55 (1948), 588-592.
%D A001468 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A001468 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%F A001468 [(n+1) tau] - [n tau], tau =(1 + sqrt 5)/2 = A001622, [] = floor function.
%p A001468 Digits := 50: t := evalf( (1+sqrt(5))/2); A001468 := n->floor((n+1)*t)-floor(n*t);
%t A001468 Table[Floor[GoldenRatio*(n + 1)] - Floor[GoldenRatio*n], {n, 0, 80}] 
               - Joseph Biberstine (jrbibers(AT)indiana.edu), Aug 14 2006
%Y A001468 Same as A014675 if initial 1 is deleted. Cf. A003849.
%Y A001468 Sequence in context: A025143 A080634 A109925 this_sequence A014675 A107362 
               A166332
%Y A001468 Adjacent sequences: A001465 A001466 A001467 this_sequence A001469 A001470 
               A001471
%K A001468 nonn,easy,nice
%O A001468 0,2
%A A001468 N. J. A. Sloane (njas(AT)research.att.com). Rechecked Nov 07, 2001

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