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A133774 Number of 1s in the maximal "phinary" (A130601) representation of n. +0
1
1, 3, 3, 3, 6, 6, 5, 6, 6, 6, 5, 9, 9, 8, 9, 9, 9, 7, 8, 8, 9, 10, 9, 9, 8, 9, 9, 9, 7, 12, 12, 11, 12, 12, 12, 10, 11, 11, 12, 13, 12, 12, 11, 12, 12, 12, 9, 10, 10, 11, 12, 11, 11, 11, 12, 12, 13, 14, 12, 12, 11, 12, 12, 12, 10, 11, 11, 12, 13, 12, 12, 11, 12, 12, 12, 9, 15, 15, 14, 15, 15 (list; graph; listen)
OFFSET

1,2

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(4)=10101, which contains three 1s. Hence a(4)=3.

CROSSREFS

Cf. A055778, A130601.

Sequence in context: A134059 A112669 A098529 this_sequence A108581 A073080 A057944

Adjacent sequences: A133771 A133772 A133773 this_sequence A133775 A133776 A133777

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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