

A080768


A unitary phi reciprocal amicable number: consider two different numbers a, b which satisfy the following equation for some integer k: uphi(a)=uphi(b)=1/k*a*b/(ab); or equivalently, 1/uphi(a)=1/uphi(b)=k*(1/a+1/b); sequence gives k numbers.


2



2, 3, 14, 35, 22, 3, 242, 23, 253, 13, 155, 12, 3, 77, 5, 4, 65, 860, 3, 10882, 14, 91, 13, 5, 80, 543, 946, 25, 1350, 13
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OFFSET

0,1


COMMENTS

Here uphi(n)=A047994(n) is the unitary totient function: if n = Product p_i^e_i, uphi(n) = Product (p_i^e_i  1).


LINKS

Table of n, a(n) for n=0..29.


CROSSREFS

Cf. A047994, A080766, A080767, A067739, A067741.
Sequence in context: A080017 A042551 A059188 * A203578 A047067 A185895
Adjacent sequences: A080765 A080766 A080767 * A080769 A080770 A080771


KEYWORD

nonn


AUTHOR

Yasutoshi Kohmoto (zbi74583(AT)boat.zero.ad.jp)


EXTENSIONS

Kohmoto found 2nd, 6th, 13th, 25th terms. Hickerson calculated the other terms.


STATUS

approved



