id:A053192 - OEIS Search Results

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Cototient of cubes.

+0
7

0, 4, 9, 32, 25, 144, 49, 256, 243, 600, 121, 1152, 169, 1568, 1575, 2048, 289, 3888, 361, 4800, 3969, 5808, 529, 9216, 3125, 9464, 6561, 12544, 841, 19800, 961, 16384, 14157, 20808, 13475, 31104, 1369, 28880, 22815, 38400, 1681, 52920, 1849, 46464 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`For n^k, n^k-EulerPhi[n^k]=n^(k-1)(n-EulerPhi[n]), or cototient[n^k]=n^(k-1)cototient[n]. Similar relation holds for Euler totient function.`
	FORMULA	`a(n)=n^2*Cototient[n]=A051953(n^3)=n^3-EulerPhi[n^3]=Cototient[n^3]`
	CROSSREFS	`a[p(n)]=A051953[p(n)^3]=A001248[n].` `Cf. A000010, A051953, A002618, A053650, A053191, A001248.` `Sequence in context: A141043 A111160 A071378 this_sequence A005985 A151271 A149115` `Adjacent sequences: A053189 A053190 A053191 this_sequence A053193 A053194 A053195`
	KEYWORD	`nonn`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu), Mar 02 2000`

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.

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