id:A072455 - OEIS Search Results

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Count of all totients in the reduced residue system of 2n-1.

+0
2

1, 2, 3, 4, 4, 6, 7, 4, 8, 9, 7, 11, 10, 8, 13, 14, 9, 11, 16, 10, 17, 18, 9, 20, 19, 13, 22, 17, 15, 25, 26, 14, 21, 28, 16, 29, 30, 14, 23, 31, 19, 33, 27, 19, 35, 28, 22, 29, 37, 19, 38, 39, 16, 41, 42, 26, 44, 33, 26, 38, 41, 27, 36, 47, 29, 49, 43, 22, 51, 52, 32, 43, 40, 27 (list; graph; listen)

	OFFSET	`1,2`
	FORMULA	`a(n)=Phi[n]-A072454(n)=A000010(n)-[A072451(n)-1+A072453(n)]`
	EXAMPLE	`n=31: reduced residue system[31]={1,...,30} with 15 odd and 15 even numbers. From odd ones only term=1 is totient, while from 15 even terms, 2 ones,{14,26},are nontotients so 13 ones are totients. All totients count 1+13=14, thus a([31+1]/2)=a(16)=14.`
	CROSSREFS	`Cf. A000010, A037225, A072451-A072457, A005277, A002202.` `Sequence in context: A102440 A124815 A081328 this_sequence A066981 A130043 A089266` `Adjacent sequences: A072452 A072453 A072454 this_sequence A072456 A072457 A072458`
	KEYWORD	`nonn`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu), Jun 19 2002`

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Last modified December 11 12:57 EST 2009. Contains 170656 sequences.

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