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A086454 Number of divisors of prime powers: tau(p^e). +0
2
1, 2, 2, 3, 2, 2, 4, 3, 2, 2, 5, 2, 2, 2, 3, 4, 2, 2, 6, 2, 2, 2, 2, 3, 2, 2, 2, 7, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 2, 8, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 9, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2 (list; graph; listen)
OFFSET

1,2

COMMENT

a(n) = A000005(A000961(n)).

LINKS

Eric Weisstein's World of Mathematics, Prime Power.

Eric Weisstein's World of Mathematics, Divisor Function

FORMULA

a(p^e) = e+1: a(n)=A025474(n)+1.

CROSSREFS

Cf. A086455.

Sequence in context: A131836 A133829 A160651 this_sequence A069360 A068050 A156220

Adjacent sequences: A086451 A086452 A086453 this_sequence A086455 A086456 A086457

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 20 2003

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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