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A053578 Values of cototient function for A053577. 1
1, 1, 2, 1, 4, 1, 4, 1, 8, 1, 8, 8, 1, 1, 1, 16, 16, 1, 1, 16, 1, 1, 1, 1, 32, 1, 32, 1, 1, 32, 32, 1, 1, 1, 1, 1, 1, 64, 1, 1, 1, 1, 1, 64, 1, 64, 1, 64, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 128, 1, 1, 1, 1, 1, 128, 1, 1, 1, 1, 1, 128, 1, 128, 128, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

COMMENTS

Except for 2^0=1, there are only finitely many values of k such that cototient(k) = 2^m for fixed m.

EXAMPLE

For p prime, cototient[p]=1. Smallest values for which cototient[x]=2^w are 6,12,24,96,192,..,49152 for w=2,3,4,5,6,...,15

CROSSREFS

Cf. A051953, A053577.

Sequence in context: A126210 A040005 A193306 * A168177 A029205 A072721

Adjacent sequences:  A053575 A053576 A053577 * A053579 A053580 A053581

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Jan 18 2000

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Last modified February 16 11:51 EST 2012. Contains 205908 sequences.