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A086454 Number of divisors of prime powers: tau(p^e). 1
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; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

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 * A069360 A175509 A068050

Adjacent sequences:  A086451 A086452 A086453 * A086455 A086456 A086457

KEYWORD

nonn

AUTHOR

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

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Last modified February 17 09:30 EST 2012. Contains 206009 sequences.