id:A007886 - OEIS Search Results

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Number of cycles induced by iterating the Gray-coding of an n-bit number: a(n+1) = a(n) + ( 2^n / C_n), where C_n = least power of 2 >= n (C_n is the length of the cycle).

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1, 2, 3, 4, 6, 8, 12, 20, 36, 52, 84, 148, 276, 532, 1044, 2068, 4116, 6164, 10260, 18452, 34836, 67604, 133140, 264212, 526356, 1050644, 2099220, 4196372, 8390676, 16779284, 33556500, 67110932, 134219796, 201328660, 335546388, 603981844 (list; graph; listen)

	OFFSET	`0,2`
	REFERENCES	`J. A. Oteo and J. Ros, A Fractal Set from the Binary Reflected Gray Code, J. Phys. A: Math Gen. 38 (2005) 8935-8949.`
	LINKS	`J. Culberson, Mutation-Crossover Isomorphisms and the Construction of Discriminating Functions, Evolutionary Computation 2(3): 279-311`
	CROSSREFS	`Sequence in context: A017822 A018465 A127107 this_sequence A135108 A018515 A018253` `Adjacent sequences: A007883 A007884 A007885 this_sequence A007887 A007888 A007889`
	KEYWORD	`nonn`
	AUTHOR	`Joe Culberson [ joe(AT)cs.ualberta.ca ]`

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Last modified July 4 01:34 EDT 2008. Contains 140787 sequences.

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