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A061389 Number of (1+phi)-divisors of n. +0
5
1, 2, 2, 2, 2, 4, 2, 3, 2, 4, 2, 4, 2, 4, 4, 3, 2, 4, 2, 4, 4, 4, 2, 6, 2, 4, 3, 4, 2, 8, 2, 5, 4, 4, 4, 4, 2, 4, 4, 6, 2, 8, 2, 4, 4, 4, 2, 6, 2, 4, 4, 4, 2, 6, 4, 6, 4, 4, 2, 8, 2, 4, 4, 3, 4, 8, 2, 4, 4, 8, 2, 6, 2, 4, 4, 4, 4, 8, 2, 6, 3, 4, 2, 8, 4, 4, 4, 6, 2, 8, 4, 4, 4, 4, 4, 10, 2, 4, 4, 4, 2, 8, 2, 6 (list; graph; listen)
OFFSET

1,2

COMMENT

d is called a (1+phi)-divisor of a number n with prime factorization n = Product p(i)^r(i) if d|n and d = Product p(i)^s(i), where s(i)=0 or GCD(s(i),r(i))=1.

a(n) is odd iff n is a 3-full number (cf. A036966).

FORMULA

Multiplicative with a(p^e) = A000010(e)+1.

CROSSREFS

Cf. A069915, A049419, A049599.

Sequence in context: A028326 A048003 A098219 this_sequence A138011 A036555 A046927

Adjacent sequences: A061386 A061387 A061388 this_sequence A061390 A061391 A061392

KEYWORD

nonn,mult

AUTHOR

Vladeta Jovovic (vladeta(AT)Eunet.yu), Apr 29 2001

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Last modified August 28 19:25 EDT 2008. Contains 143183 sequences.


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