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A110601 phi(n)*tau(n)^2, where phi is Euler's totient function and tau(n) is the number of divisors of n. +0
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1, 4, 8, 18, 16, 32, 24, 64, 54, 64, 40, 144, 48, 96, 128, 200, 64, 216, 72, 288, 192, 160, 88, 512, 180, 192, 288, 432, 112, 512, 120, 576, 320, 256, 384, 972, 144, 288, 384, 1024, 160, 768, 168, 720, 864, 352, 184, 1600, 378, 720, 512, 864, 208, 1152, 640 (list; graph; listen)
OFFSET

1,2

REFERENCES

S. Porubsky, Problem E2351, Amer. Math. Monthly, 80, 1973, p. 436.

EXAMPLE

a(4)=18 because phi(4)=2 and tau(4)=3.

MAPLE

with(numtheory): a:=n->phi(n)*tau(n)^2: seq(a(n), n=1..70);

CROSSREFS

Adjacent sequences: A110598 A110599 A110600 this_sequence A110602 A110603 A110604

Sequence in context: A098125 A119471 A075558 this_sequence A107926 A070213 A077474

KEYWORD

nonn

AUTHOR

Emeric Deutsch (deutsch(AT)duke.poly.edu), Jul 29 2005

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Last modified May 16 23:01 EDT 2008. Contains 139884 sequences.


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