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A072195 Replace all prime factors p of n by n/p. +0
1
1, 1, 1, 4, 1, 6, 1, 64, 9, 10, 1, 144, 1, 14, 15, 4096, 1, 324, 1, 400, 21, 22, 1, 13824, 25, 26, 729, 784, 1, 900, 1, 1048576, 33, 34, 35, 46656, 1, 38, 39, 64000, 1, 1764, 1, 1936, 2025, 46, 1, 5308416, 49, 2500, 51, 2704, 1, 157464, 55, 175616, 57, 58, 1, 216000, 1 (list; graph; listen)
OFFSET

1,4

COMMENT

For n>1: a(n)=1 iff n is prime.

FORMULA

a(n) = n^(A001222(n)-1).

EXAMPLE

a(18)=a(2*3*3)=(18/2)*(18/3)*(18/3)=9*6*6=324.

CROSSREFS

Adjacent sequences: A072192 A072193 A072194 this_sequence A072196 A072197 A072198

Sequence in context: A135683 A113520 A087652 this_sequence A032310 A032220 A032145

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 02 2002

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.


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