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Powers of 2 arising in A066669: a(n) is the largest even divisor of EulerPhi[A066669(n)], which is by definition is a power of 2.

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2, 2, 2, 4, 2, 2, 4, 2, 2, 4, 4, 4, 4, 4, 8, 4, 8, 8, 4, 4, 8, 2, 2, 4, 8, 4, 8, 8, 4, 2, 16, 4, 4, 8, 8, 8, 8, 8, 2, 8, 8, 8, 8, 8, 4, 2, 32, 8, 16, 16, 4, 2, 8, 16, 16, 8, 8, 2, 32, 16, 16, 8, 8, 4, 16, 4, 16, 16, 4, 8, 32, 16, 8, 16, 16, 2, 2, 16, 4, 8, 16, 4, 8, 2, 16, 8, 32, 4, 64, 32, 32 (list; graph; listen)

	OFFSET	`1,1`
	EXAMPLE	`First, 4th and 15th terms in A066669 are 7, 13, 35; Phi[7] = 2.3, Phi[13] = 4.3, Phi[35] = 24 = 8.3; the largest even divisors[powers of 2] are 2, 4, 8; so a(1) = 2, a(4) = 4, a(15) = 8.`
	CROSSREFS	`Cf. A000010, A066669-A066673, A065966.` `Adjacent sequences: A066668 A066669 A066670 this_sequence A066672 A066673 A066674` `Sequence in context: A102445 A027389 A049716 this_sequence A049627 A134058 A086973`
	KEYWORD	`nonn`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu), Dec 18 2001`

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.

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