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Search: id:A137927
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A137927 a(n) = the largest divisor of A000005(n) that is coprime to n. (A000005(n) = the number of positive divisors of n.). +0
2
1, 1, 2, 3, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 4, 5, 2, 1, 2, 3, 4, 1, 2, 1, 3, 1, 4, 3, 2, 1, 2, 3, 4, 1, 4, 1, 2, 1, 4, 1, 2, 1, 2, 3, 2, 1, 2, 5, 3, 3, 4, 3, 2, 1, 4, 1, 4, 1, 2, 1, 2, 1, 2, 7, 4, 1, 2, 3, 4, 1, 2, 1, 2, 1, 2, 3, 4, 1, 2, 1 (list; graph; listen)
OFFSET

1,3

LINKS

Leroy Quet, Home Page (listed in lieu of email address)

EXAMPLE

20 has 6 positive divisors. The divisors of 6 are 1,2,3,6. The divisors of 6 that are coprime to 20 are 1 and 3. 3 is the largest of these; so a(20) = 3.

MATHEMATICA

Table[Select[Divisors[Length[Divisors[n]]], GCD[ #, n] == 1 &][[ -1]], {n, 1, 80}] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Mar 09 2008

CROSSREFS

Cf. A137926.

Sequence in context: A082868 A154556 A126626 this_sequence A084311 A026490 A053555

Adjacent sequences: A137924 A137925 A137926 this_sequence A137928 A137929 A137930

KEYWORD

nonn

AUTHOR

Leroy Quet Feb 23 2008

EXTENSIONS

More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Mar 09 2008

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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