Search: id:A130600
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%I A130600
%S A130600 1,1001,10001,10101,10001001,10100001,100000001,100010001,100100101,
%T A130600 101000101,101010101,100000101001,100010001001,100100001001,
%U A130600 100101001001,101000100001,101010000001,1000000000001,1000001000001
%N A130600 Integers written in base phi, with the "decimal point" omitted.
%C A130600 This is the "greedy" or "minimal" representation (see also A130601).
%H A130600 Casey Mongoven, <a href="b130600.txt">Table of n, a(n) for n = 1..55</
               a>
%H A130600 Casey Mongoven, <a href="http://www.caseymongoven.com/scores/B/b416.htm">
               Music based on this sequence</a>
%H A130600 Ron Knott, <a href="http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/
               phigits.html">Integers written in base phi</a>
%e A130600 If the decimal point were included, the sequence would read 1., 10.01, 
               100.01, 101.01, 1000.1001, 1010.0001, 10000.0001, 10001.0001, 10010.0101, 
               10100.0101, 10101.0101, ... Unfortunately these are not integers.
%e A130600 Examples: a(2)=1001 because phi^1+phi^-2 = 2, a(3) = 10001 because phi^2+phi^-2 
               = 3, a(4) = 10101 because phi^2+phi^0+phi^-2 = 4.
%Y A130600 Cf. A055778, A105424, A130601.
%Y A130600 Sequence in context: A166975 A153814 A100709 this_sequence A114387 A109431 
               A140927
%Y A130600 Adjacent sequences: A130597 A130598 A130599 this_sequence A130601 A130602 
               A130603
%K A130600 nonn
%O A130600 1,2
%A A130600 Casey Mongoven (cm(AT)caseymongoven.com), Aug 06 2007

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