A036287 - OEIS

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A036287

Denominators for Fibonacci Binary Verticals viewed as Periodic Binary Fractions: a(n) = ((2^(3*(2^n))) - 1).

7, 63, 4095, 16777215, 281474976710655, 79228162514264337593543950335, 6277101735386680763835789423207666416102355444464034512895, 39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306815 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,1`
	COMMENTS	`The cycle of bit-n of Fibonacci numbers in binary is (3*(2^n)). Looking from top to bottom they can be viewed as non-finite` `periodic binary fractions, with each fraction computed as n-th element of A036286 divided by n-th element of A036287.`
	LINKS	`A. Karttunen, A C-program Producing Fibonacci Binary Verticals`
	MATHEMATICA	`2^(3 2^Range[0, 10])-1 (* From Harvey P. Dale, June 19 2011 *)`
	CROSSREFS	`A036286, A000045.` `Sequence in context: A152797 A126883 A137810 * A116231 A195630 A136955` `Adjacent sequences: A036284 A036285 A036286 * A036288 A036289 A036290`
	KEYWORD	`nonn,frac`
	AUTHOR	`Antti Karttunen`

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Last modified February 14 00:47 EST 2012. Contains 205567 sequences.