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Excess in exponents of powers of 2 in EulerPhi of n! compared to that of n!.

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0, -1, 0, 0, 2, 2, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 14, 14, 15, 15, 15, 15, 15, 15, 17, 17, 17, 17, 20, 20, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 24, 24, 24, 24, 24, 24, 25, 25, 27, 27, 27, 27, 27, 27, 28, 28, 28, 28, 29, 29, 32, 32 (list; graph; listen)

	OFFSET	`1,5`
	FORMULA	`a(n)=A007814(A048855(n))-A007814(n!)= A007814(A048855(n))-A011371(A000142(n))`
	EXAMPLE	`n=8, 8!=40320=128315, Phi(40320)=9216=91024 Exponent of 2 in 8! is only 7, in Phi(8!) is 10 so a(8)=10-7=3 Exponents of 2 is larger in Phi(n!) than in n! if n>4.`
	CROSSREFS	`A000142, A000010, A048855, A007814, A011371.` `Sequence in context: A060960 A073642 A108356 this_sequence A078571 A071860 A004788` `Adjacent sequences: A055653 A055654 A055655 this_sequence A055657 A055658 A055659`
	KEYWORD	`sign`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu), Jul 11 2000`

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Last modified December 10 00:48 EST 2009. Contains 170565 sequences.

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