id:A055597 - OEIS Search Results

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Powers of 2 in EulerPhi of n!.

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0, 0, 1, 3, 5, 6, 7, 10, 10, 11, 12, 14, 16, 17, 17, 21, 25, 26, 27, 29, 29, 30, 31, 34, 34, 35, 35, 37, 39, 40, 41, 46, 46, 47, 47, 49, 51, 52, 52, 55, 58, 59, 60, 62, 62, 63, 64, 68, 68, 69, 69, 71, 73, 74, 74, 77, 77, 78, 79, 81, 83, 84, 84, 90, 90, 91, 92, 94, 94, 95, 96 (list; graph; listen)

	OFFSET	`1,4`
	FORMULA	`a(n)=A007814(A048855(n))=A007814(A000010(n!))`
	EXAMPLE	`n=8, 8!=40320=128315, Phi(40320)=9216=91024 a(8)=10, while exponent of 2 in 8! is only 7. Exponents of 2 is larger in Phi(n!) than in n!.`
	CROSSREFS	`A000720, A000010, A048855, A007814, A011371.` `Sequence in context: A043817 A030731 A124194 this_sequence A053048 A028983 A038550` `Adjacent sequences: A055594 A055595 A055596 this_sequence A055598 A055599 A055600`
	KEYWORD	`nonn`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu), Jul 11 2000`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

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