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A010055 1 if n is a prime power else 0. +0
7
1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0 (list; graph; listen)
OFFSET

1,1

COMMENT

Also, number of Galois fields of order n. - Charles R Greathouse IV, Mar 12 2008

LINKS

Charles R Greathouse IV, Home Page [in lieu of email address]

FORMULA

Dirichlet generating function: 1+ppzeta(s). Here ppzeta(s) = sum_{p prime} sum_{k=1}^{infinity} 1/(p^)k^s. Note that ppzeta(s) = sum_{p prime} 1/(p^s-1) and ppzeta(s) = sum_{k=1}^{infinity} primezeta(k*s). - Franklin T. Adams-Watters, Sep 11 2005.

a(n) = 0^(A119288(n)-1). - Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), May 13 2006

CROSSREFS

Sequence in context: A118110 A131522 A011750 this_sequence A076699 A091862 A082551

Adjacent sequences: A010052 A010053 A010054 this_sequence A010056 A010057 A010058

KEYWORD

nonn

AUTHOR

njas

EXTENSIONS

More terms from Charles R Greathouse IV, Mar 12 2008

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Last modified July 26 23:15 EDT 2008. Contains 142293 sequences.


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