

A246429


List of c, where c is positive integer solutions of 1/a + 1/b = 1/c and a>b>c and gcd(a,b,c)=1, sorted by ascending a, then b.


4



2, 3, 6, 4, 12, 5, 10, 15, 6, 20, 7, 14, 30, 21, 8, 28, 35, 24, 9, 42, 18, 40, 10, 36, 56, 45, 30, 11, 22, 63, 72, 33, 12, 44, 70, 55, 13, 66, 90, 26, 77, 60, 39, 88, 14, 99, 52, 84, 110, 65, 42, 15, 78, 30, 91, 70, 16, 104, 132, 60, 117, 130
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OFFSET

1,1


COMMENTS

For any positive integer m and n, a=m(m+n), b=n(m+n), c=m*n is an integer solution for 1/a+1/b=1/c
See A106430 for list of a, A247372 for list of b.


LINKS

Ivan Neretin, Table of n, a(n) for n = 1..10000


EXAMPLE

1/6 + 1/3 = 1/2.
1/12 + 1/4 = 1/3.
1/15 + 1/10 = 1/6.


MATHEMATICA

aMax = 300;
Select[Sequence @@@ Table[{m (m + n), n (m + n), m n}, {m, Sqrt[aMax]}, {n, Min[m  1, aMax/m  m]}], GCD @@ # == 1 &] // Sort;
%[[;; , 3]]


CROSSREFS

Cf. A106430, A247372.
Sequence in context: A254047 A049449 A104663 * A305325 A302848 A046202
Adjacent sequences: A246426 A246427 A246428 * A246430 A246431 A246432


KEYWORD

nonn,look


AUTHOR

Albert Lau, Sep 18 2014


STATUS

approved



