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Search: id:A087157
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| 1, 2, 1, 3, 1, 1, 2, 1, 4, 1, 1, 1, 2, 1, 2, 1, 3, 1, 1, 2, 1, 5, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 3, 1, 1, 2, 1, 3, 1, 1, 2, 1, 4, 1, 1, 1, 2, 1, 2, 1, 3, 1, 1, 2, 1, 6, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 3, 1, 1, 2, 1, 3, 1, 1, 2, 1, 3, 1, 1, 2, 1, 4, 1, 1, 1, 2, 1, 2, 1, 3, 1, 1, 2, 1, 4, 1, 1, 1, 2, 1, 2, 1
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Removing all the 1's results in the original sequence with every term incremented by 1.
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FORMULA
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Records are given by A055588(n): a(A055588(n))=n, where A055588(n)=Fibonacci(2n-2)+1 and Fibonacci(n)=A000045(n).
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EXAMPLE
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Initialize all terms to 1. Set a(1)=1, go one term forward,
set a(2)=a(1)+1=2, go 2 terms forward,
set a(4)=a(2)+1=3, go 3 terms forward,
set a(7)=a(3)+1=2, go 2 terms forward,
set a(9)=a(4)+1=4, go 4 terms forward,
set a(13)=a(5)+1=1, etc.
The indices 1,2,4,7,9,13,... form A087158.
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CROSSREFS
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Cf. A087158, A085246.
Sequence in context: A119804 A144869 A058564 this_sequence A138618 A140583 A123507
Adjacent sequences: A087154 A087155 A087156 this_sequence A087158 A087159 A087160
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Aug 22 2003
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