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Search: id:A130601
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| A130601 |
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Integers written in base phi, with the "decimal point" omitted. |
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+0
5
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| 1, 111, 1101, 10101, 1011111, 1110111, 10101101, 10111101, 11011101, 11110101, 101010101, 10101111111, 10111011111, 11010110111, 11011110111, 11101110111, 11111010111, 101010101101, 101011101101, 101101101101
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The map 100 -> 011 is used to eliminate every 100 from the minimal representation (A130601).
Other sequences are possible for representing integers in base-phi with no occurrence of "00" in any terms - see links.
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LINKS
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Casey Mongoven, Table of n, a(n) for n = 1..55
Casey Mongoven, Music based on this sequence
Ron Knott, Integers written in base phi
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EXAMPLE
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Examples: a(2)=111 because phi^0+phi^-1+phi^-2 = 2, a(3) = 1101 because phi^1+phi^0+phi^-2 = 3, a(4) = 10101 because phi^2+phi^0+phi^-2 = 4.
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CROSSREFS
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Cf. A055778, A105424, A130600.
Sequence in context: A038445 A086818 A084456 this_sequence A115771 A115875 A115816
Adjacent sequences: A130598 A130599 A130600 this_sequence A130602 A130603 A130604
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KEYWORD
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nonn
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AUTHOR
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Casey Mongoven (cm(AT)caseymongoven.com), Aug 06 2007
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