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A087157 Satisfies a(1)=1, a(A087158(n+1)) = a(n)+1, with a(m)=1 for all m not found in A087158, where A087158(n+2)=A087158(n+1)+a(n)+1. 1
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; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Removing all the 1's results in the original sequence with every term incremented by 1.

LINKS

Table of n, a(n) for n=1..105.

FORMULA

Records are given by A055588(n): a(A055588(n))=n, where A055588(n)=Fibonacci(2n-2)+1 and Fibonacci(n)=A000045(n).

EXAMPLE

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.

CROSSREFS

Cf. A087158, A085246.

Sequence in context: A058564 A226006 A210943 * A138618 A140583 A237266

Adjacent sequences:  A087154 A087155 A087156 * A087158 A087159 A087160

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Aug 22 2003

STATUS

approved

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Last modified July 30 15:30 EDT 2014. Contains 245069 sequences.