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 A133771 Number of runs (of equal bits) in the maximal Lucas binary (A130311) representation of n. 1
 2, 1, 1, 2, 3, 1, 3, 2, 3, 1, 4, 5, 3, 3, 2, 3, 1, 5, 4, 5, 3, 4, 5, 3, 3, 2, 3, 1, 6, 7, 5, 5, 4, 5, 3, 5, 4, 5, 3, 4, 5, 3, 3, 2, 3, 1, 7, 6, 7, 5, 6, 7, 5, 5, 4, 5, 3, 6, 7, 5, 5, 4, 5, 3, 5, 4, 5, 3, 4, 5, 3, 3, 2, 3, 1, 8, 9, 7, 7, 6, 7, 5, 7, 6, 7, 5, 6, 7, 5, 5, 4, 5, 3, 7, 6, 7, 5, 6, 7, 5, 5, 4, 5, 3, 6 (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 Ron Knott, Using Powers of Phi to represent Integers. EXAMPLE A130311(19)=101110 because 11+4+3+1=19 (a sum of Lucas numbers); this representation has four runs: 1,0,111,0. So a(19)=4. CROSSREFS Cf. A133770, A130311. Sequence in context: A182972 A153452 A090680 * A288158 A319522 A217612 Adjacent sequences:  A133768 A133769 A133770 * A133772 A133773 A133774 KEYWORD nonn AUTHOR Casey Mongoven, Sep 23 2007; corrected Mar 23 2008 EXTENSIONS The b-file submitted by Casey Mongoven did not match the terms of the sequence, so I have deleted it. Of course it may be that the sequence is wrong and the b-file was correct. Should be rechecked. - N. J. A. Sloane, Nov 10 2010 STATUS approved

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Last modified February 26 09:39 EST 2020. Contains 332277 sequences. (Running on oeis4.)