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Search: id:A073343
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A073343 Number of permutations p of (1,2,3,...,n) such that sum(k=1,n,gcd(k,p(k)) = sigma(n). +0
1
1, 1, 1, 6, 33, 75, 877, 2075, 38692, 239794, 1250340, 18495201, 43023264 (list; graph; listen)
OFFSET

1,4

PROGRAM

(PARI) a(n)=sum(k=1, n!, if(sum(i=1, n, gcd(i, component(numtoperm(n, k), i)))-sigma(n), 0, 1))

CROSSREFS

Sequence in context: A132548 A140521 A069065 this_sequence A157872 A153127 A135526

Adjacent sequences: A073340 A073341 A073342 this_sequence A073344 A073345 A073346

KEYWORD

more,nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 23 2002

EXTENSIONS

a(10) from Mohammed Bouayoun (bouyao(AT)wanadoo.fr), Mar 14 2004

a(11) from Rick L. Shepherd (rshepherd2(AT)hotmail.com), Mar 15 2004

2 more terms from Ryan Propper (rpropper(AT)stanford.edu), Oct 25 2006

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Last modified November 24 14:25 EST 2009. Contains 167438 sequences.


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