A053192 - OEIS

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A053192

Cototient of cubes.

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; refs; listen; history; internal format)

	OFFSET	`1,2`
	COMMENTS	`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: A192876 A201689 A071378 * A005985 A151271 A149115` `Adjacent sequences: A053189 A053190 A053191 * A053193 A053194 A053195`
	KEYWORD	`nonn`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu), Mar 02 2000`

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Last modified February 17 06:27 EST 2012. Contains 205998 sequences.