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A086455 Sum of divisors of prime powers: sigma(p^e). +0
3
1, 3, 4, 7, 6, 8, 15, 13, 12, 14, 31, 18, 20, 24, 31, 40, 30, 32, 63, 38, 42, 44, 48, 57, 54, 60, 62, 127, 68, 72, 74, 80, 121, 84, 90, 98, 102, 104, 108, 110, 114, 133, 156, 128, 255, 132, 138, 140, 150, 152, 158, 164, 168, 183, 174, 180, 182, 192, 194, 198 (list; graph; listen)
OFFSET

1,2

COMMENT

a(n) = A000203(A000961(n)).

LINKS

Eric Weisstein's World of Mathematics, Prime Power.

Eric Weisstein's World of Mathematics, Divisor Function

FORMULA

a(p^e) = (p^(e+1)-1)/(p-1): a(n)=(A025473(n)^(A025474(n)+1)-1)/(A025473(n)-1).

CROSSREFS

Cf. A086454.

Sequence in context: A117553 A120224 A132009 this_sequence A096842 A086469 A087030

Adjacent sequences: A086452 A086453 A086454 this_sequence A086456 A086457 A086458

KEYWORD

nonn

AUTHOR

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

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.


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