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A133776 Number of 0s in the maximal "phinary" (A130601) representation of n. +0
2
0, 0, 1, 2, 1, 1, 3, 2, 2, 2, 4, 2, 2, 3, 2, 2, 2, 5, 4, 4, 3, 2, 3, 3, 4, 3, 3, 3, 6, 3, 3, 4, 3, 3, 3, 5, 4, 4, 3, 2, 3, 3, 4, 3, 3, 3, 7, 6, 6, 5, 4, 5, 5, 5, 4, 4, 3, 2, 4, 4, 5, 4, 4, 4, 6, 5, 5, 4, 3, 4, 4, 5, 4, 4, 4, 8, 4, 4, 5, 4, 4, 4, 6, 5, 5, 4, 3, 4, 4, 5, 4, 4, 4, 7, 6, 6, 5, 4, 5, 5, 5, 4, 4, 3, 2 (list; graph; listen)
OFFSET

1,4

REFERENCES

Zeckendorf, E., Representation des nombres naturels par une somme des nombres de Fibonacci ou de nombres de Lucas, Bull. Soc. Roy. Sci. Liege 41, 179-182, 1972.

LINKS

Casey Mongoven, Table of n, a(n) for n = 1..199

Ron Knott, Using Powers of Phi to represent Integers.

EXAMPLE

A130601(7)=10101101, which has three 0s. So a(7)=3.

CROSSREFS

Cf. A133775, A130601.

Sequence in context: A131333 A120643 A111867 this_sequence A060118 A029308 A029259

Adjacent sequences: A133773 A133774 A133775 this_sequence A133777 A133778 A133779

KEYWORD

nonn

AUTHOR

Casey Mongoven (cm(AT)caseymongoven.com), Sep 23 2007

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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