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A075802 Characteristic function of perfect powers, A001597. +0
4
1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 (list; graph; listen)
OFFSET

1,1

COMMENT

a(n) = A057427(A052409(n) - 1);

a(A001597(n))=1 and a(m)=0 for all m that are not perfect powers.

Not multiplicative: for example, a(8)=a(9)=1, but a(72)=0. - Franklin T. Adams-Watters, Sep 09 2005

LINKS

Index entries for characteristic functions

Eric Weisstein's World of Mathematics, Perfect Powers.

CROSSREFS

Cf. A112526.

Sequence in context: A014504 A014999 A065803 this_sequence A112526 A120523 A119498

Adjacent sequences: A075799 A075800 A075801 this_sequence A075803 A075804 A075805

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 13 2002

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Last modified December 20 00:58 EST 2009. Contains 171054 sequences.


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