id:A133773 - OEIS Search Results

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Number of runs (of equal bits) in the maximal "phinary" (A130601) representation of n.

+0
2

1, 1, 3, 5, 3, 3, 7, 5, 5, 5, 9, 5, 5, 7, 5, 5, 5, 11, 9, 9, 7, 5, 7, 7, 9, 7, 7, 7, 13, 7, 7, 9, 7, 7, 7, 11, 9, 9, 7, 5, 7, 7, 9, 7, 7, 7, 15, 13, 13, 11, 9, 11, 11, 11, 9, 9, 7, 5, 9, 9, 11, 9, 9, 9, 13, 11, 11, 9, 7, 9, 9, 11, 9, 9, 9, 17, 9, 9, 11, 9, 9, 9, 13, 11, 11, 9, 7, 9, 9, 11, 9, 9, 9, 15, 13 (list; graph; listen)

	OFFSET	`1,3`
	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.` `Casey Mongoven, Music based on this sequence.`
	EXAMPLE	`A130601(3)=1101 because phi^1+phi^0+phi^-2 = 3; 1101 has 3 runs: 11,0,1. So a(3)=3.`
	CROSSREFS	`Cf. A133772, A130601.` `Sequence in context: A097524 A073703 A097519 this_sequence A077934 A077950 A077973` `Adjacent sequences: A133770 A133771 A133772 this_sequence A133774 A133775 A133776`
	KEYWORD	`nonn`
	AUTHOR	`Casey Mongoven (cm(AT)caseymongoven.com), Sep 23 2007`

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Last modified December 4 21:35 EST 2008. Contains 151309 sequences.

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