

A085514


Integers n representable as the product of the sum of three nonzero integers with the sum of their reciprocals: n=(x+y+z)*(1/x+1/y+1/z).


7



1, 9, 10, 11, 14, 15, 18, 26, 29, 30, 31, 34, 35, 37, 38, 42, 43, 44, 48, 52, 53, 54, 55, 57, 59, 62, 63, 64, 67, 69, 70, 71, 73, 74, 75, 76, 82, 84, 85, 86, 90, 92, 93, 94, 95, 96, 98, 100, 101, 102, 103, 105, 106, 108, 111, 112, 116, 117, 122, 125, 126, 127, 128
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OFFSET

1,2


COMMENTS

See under A086446 for comments and references.


LINKS



EXAMPLE

a(1)=1 because (1+11)*(1/1+1/11/1)=1.
a(2)=(1+1+1)*(1/1+1/1+1/1)=9.
a(9)=(215+78)*(1/21/15+1/78)=29.


CROSSREFS

Cf. A086446 (representation by positive x, y, z), A102535 (representable negative n)


KEYWORD

nonn


AUTHOR



EXTENSIONS

More terms from the MacLeod web site, Mar 17 2005


STATUS

approved



