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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). 4
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; internal format)
OFFSET

1,1

REFERENCES

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.

LINKS

Allan J. MacLeod, Knight's Problem

CROSSREFS

Cf. A085514, A102778, A102779, A102809.

Sequence in context: A201216 A184277 A045855 * A074226 A106631 A120261

Adjacent sequences:  A102532 A102533 A102534 * A102536 A102537 A102538

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Mar 17 2005

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Last modified February 14 23:53 EST 2012. Contains 205689 sequences.