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 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). 6
 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 (list; graph; refs; listen; history; text; internal format)
 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

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Last modified May 23 08:52 EDT 2024. Contains 372760 sequences. (Running on oeis4.)