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A133770 Number of runs (of equal bits) in the minimal Lucas binary (A130310) representation of n. 2
2, 1, 2, 2, 4, 3, 2, 4, 3, 4, 2, 4, 3, 4, 4, 6, 5, 2, 4, 3, 4, 4, 6, 5, 4, 6, 5, 6, 2, 4, 3, 4, 4, 6, 5, 4, 6, 5, 6, 4, 6, 5, 6, 6, 8, 7, 2, 4, 3, 4, 4, 6, 5, 4, 6, 5, 6, 4, 6, 5, 6, 6, 8, 7, 4, 6, 5, 6, 6, 8, 7, 6, 8, 7, 8, 2, 4, 3, 4, 4, 6, 5, 4, 6, 5, 6, 4, 6, 5, 6, 6, 8, 7, 4, 6, 5, 6, 6, 8, 7, 6, 8, 7, 8, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

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

A130310(17)=101001 because 11 + 4 + 2 = 17 (a sum of Lucas numbers); this representation has five runs: 1,0,1,00,1. So a(17)=5.

CROSSREFS

Cf. A133771, A130310.

Sequence in context: A156995 A131183 A346063 * A288310 A332718 A341461

Adjacent sequences: A133767 A133768 A133769 * A133771 A133772 A133773

KEYWORD

nonn

AUTHOR

Casey Mongoven, Sep 23 2007

STATUS

approved

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Last modified December 9 00:20 EST 2022. Contains 358698 sequences. (Running on oeis4.)