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A053650 Cototient function of n^2. +0
8
0, 2, 3, 8, 5, 24, 7, 32, 27, 60, 11, 96, 13, 112, 105, 128, 17, 216, 19, 240, 189, 264, 23, 384, 125, 364, 243, 448, 29, 660, 31, 512, 429, 612, 385, 864, 37, 760, 585, 960, 41, 1260, 43, 1056, 945, 1104, 47, 1536, 343, 1500, 969, 1456, 53, 1944, 825, 1792, 1197 (list; graph; listen)
OFFSET

1,2

COMMENT

Seems to be invertible like n*Phi(n). Compare with A002618, A038040.

FORMULA

a(n)= n*(n-EulerPhi(n))=n^2-n*Phi(n)=Cototient(n^2)=A051953(A000290(n)).

EXAMPLE

For n = prime p, Cototient(p)=1 and a(p)=p

CROSSREFS

A002618(n) + a(n) = n^2

Cf. A000005, A038040.

Cf. A001248, A002618, A053650, A053192, A053193, A036689.

Sequence in context: A075384 A072500 A062956 this_sequence A119794 A117987 A091136

Adjacent sequences: A053647 A053648 A053649 this_sequence A053651 A053652 A053653

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Feb 18 2000

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Last modified September 6 16:04 EDT 2008. Contains 143483 sequences.


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