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A055654 Difference between n and the result of "Phi-summation" over unitary divisors of n. +0
2
0, 0, 0, 1, 0, 0, 0, 3, 2, 0, 0, 3, 0, 0, 0, 7, 0, 4, 0, 5, 0, 0, 0, 9, 4, 0, 8, 7, 0, 0, 0, 15, 0, 0, 0, 15, 0, 0, 0, 15, 0, 0, 0, 11, 10, 0, 0, 21, 6, 8, 0, 13, 0, 16, 0, 21, 0, 0, 0, 15, 0, 0, 14, 31, 0, 0, 0, 17, 0, 0, 0, 37, 0, 0, 12, 19, 0, 0, 0, 35, 26, 0, 0, 21, 0, 0, 0, 33, 0, 20, 0, 23 (list; graph; listen)
OFFSET

1,8

FORMULA

a(n)=n-Sum[Phi[u]], where GCD[u, n/u] = 1, i.e. u is unitary divisor of n.

EXAMPLE

Square-free numbers are roots of a(n)=0 equation, while Min n for which a(n)=k is k^2. See also A000188, A008833.

CROSSREFS

Cf. A000188, A008833, A055653, A053570, A053571, A055631, A055632.

Sequence in context: A033909 A133949 A139808 this_sequence A062787 A131370 A062707

Adjacent sequences: A055651 A055652 A055653 this_sequence A055655 A055656 A055657

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Jun 07 2000

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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