A133776 Number of 0's in the maximal "phinary" (A130601) representation of n.

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

Offset

1,4

References

Zeckendorf, E., Représentation des nombres naturels par une somme des nombres de Fibonacci ou de nombres de Lucas, Bull. Soc. Roy. Sci. Liège 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 0's. So a(7)=3.

Crossrefs

Cf. A133775, A130601.

Sequence in context: A242628 A111867 A326036 * A060118 A329143 A219032

Adjacent sequences: A133773 A133774 A133775 * A133777 A133778 A133779

Keyword

nonn

Author

Casey Mongoven, Sep 23 2007

Status

approved