id:A052005 - OEIS Search Results

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A052005

Number of Fibonacci numbers (A000045) with length n in base 2.

+0
2

2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`There are no double 2's except at the very start because multiplying by phi^3 adds at least 2 to Fn's binary length. For a similar reason there aren't any 3's because multiplying by phi^2 increments at least by one F(n)'s binary length.`
	EXAMPLE	`F(17)= 1597{10} = 11000111101{2} the only one of length 11 and F(18)= 2584{10} = 101000011000{2} the only one of length 12 so both a(11) and a(12) equal 1.`
	CROSSREFS	`Cf. A052006, A000045, A050815, A036284, A037093, A022927, A022934.` `Adjacent sequences: A052002 A052003 A052004 this_sequence A052006 A052007 A052008` `Sequence in context: A137264 A078614 A026607 this_sequence A138702 A144462 A112104`
	KEYWORD	`nonn,base`
	AUTHOR	`Antti Karttunen and Patrick De Geest (pdg(AT)worldofnumbers.com), Nov 15 1999.`

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Last modified November 8 20:39 EST 2009. Contains 166234 sequences.

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