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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). +0
5
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; listen)
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: A081547 A111072 A045855 this_sequence A074226 A106631 A120261

Adjacent sequences: A102532 A102533 A102534 this_sequence A102536 A102537 A102538

KEYWORD

nonn

AUTHOR

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

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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