A102535 Integers n such that -n is 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).

4, 10, 11, 12, 18, 19, 20, 22, 25, 28, 29, 30, 31, 32, 36, 39, 40, 42, 43, 44, 48, 50, 51, 52, 54, 56, 58, 59, 61, 67, 69, 70, 72, 76, 78, 84, 85, 86, 88, 89, 91, 92, 95, 96, 100, 101, 102, 103, 104, 105, 107, 108, 109, 112, 113, 115, 116, 120, 122, 123

Offset

1,1

Comments

Also numbers k such that A309144(k) > 0. - Seiichi Manyama, Jul 14 2019

Links

Seiichi Manyama, Table of n, a(n) for n = 1..1000

A. Bremner, R. K. Guy and R. Nowakowski, Which integers are representable as the product of the sum of three integers with the sum of their reciprocals?, Math. Comp. 61 (1993) 117-130.

Allan J. MacLeod, Knight's Problem

Allan J. MacLeod, Solutions for 1 <= n <= 1000 (copy from MacLeod's website)

Crossrefs

Cf. A085514, A102778, A102779, A102809, A309144.

Sequence in context: A045855 A244216 A240580 * A074226 A106631 A120261

Adjacent sequences: A102532 A102533 A102534 * A102536 A102537 A102538

Keyword

nonn

Author

N. J. A. Sloane, Mar 17 2005

Status

approved