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Search: id:A130600
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| A130600 |
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Integers written in base phi, with the "decimal point" omitted. |
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+0
4
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| 1, 1001, 10001, 10101, 10001001, 10100001, 100000001, 100010001, 100100101, 101000101, 101010101, 100000101001, 100010001001, 100100001001, 100101001001, 101000100001, 101010000001, 1000000000001, 1000001000001
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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This is the "greedy" or "minimal" representation (see also A130601).
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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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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.
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.
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CROSSREFS
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Cf. A055778, A105424, A130601.
Sequence in context: A166975 A153814 A100709 this_sequence A114387 A109431 A140927
Adjacent sequences: A130597 A130598 A130599 this_sequence A130601 A130602 A130603
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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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