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A064380 Number of numbers that are infinitarily relatively prime to n; the infinitary EulerPhi. +0
3
1, 2, 3, 4, 3, 6, 4, 8, 5, 10, 7, 12, 8, 9, 15, 16, 11, 18, 13, 14, 14, 22, 10, 24, 16, 18, 19, 28, 13, 30, 20, 22, 21, 25, 26, 36, 24, 27, 18, 40, 17, 42, 32, 33, 29, 46, 34, 48, 32, 36, 39, 52, 24, 42, 27, 40, 37, 58, 30, 60, 40, 49, 48, 50, 30, 66, 51, 49, 35, 70, 34, 72, 48 (list; graph; listen)
OFFSET

2,2

COMMENT

Not the same as A091732.

LINKS

S. R. Finch, Unitarism and infinitarism.

EXAMPLE

irelprime[6]={1, 4, 5} because iDivisors[6]={1, 2, 3, 6} and iDivisors[4]={1, 4} so 4 is infinitary_relatively_prime to 6 since it lacks common infinitary divisors with 6.

For n = 2 ..8 irelprime[n] gives {1}, {1,2}, {1,2,3}, {1,2,3,4}, {1,4,5}, {1,2,3,4,5,6}, {1,3,5,7}

MATHEMATICA

Table[ Length[ irelprime[ n ] ], {n, 2, 128} ] with irelprime[ n ] defined in A064379.

CROSSREFS

Cf. A037445, A064379.

Sequence in context: A167234 A088043 A138796 this_sequence A126214 A126801 A076945

Adjacent sequences: A064377 A064378 A064379 this_sequence A064381 A064382 A064383

KEYWORD

nonn,nice

AUTHOR

Wouter Meeussen (wouter.meeussen(AT)pandora.be), Sep 27 2001

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.


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