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A133774 Number of 1s in the maximal "phinary" (A130601) representation of n. 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; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

E. Zeckendorf, Repr├ęsentation des nombres naturels par une somme des nombres de Fibonacci ou de nombres de Lucas, Bull. Soc. Roy. Sci. Li├Ęge 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: A219686 A112669 A098529 * A108581 A073080 A171601

Adjacent sequences:  A133771 A133772 A133773 * A133775 A133776 A133777

KEYWORD

nonn

AUTHOR

Casey Mongoven, Sep 23 2007

STATUS

approved

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Last modified October 19 14:54 EDT 2019. Contains 328223 sequences. (Running on oeis4.)