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A146974 For n that there're no non-zero integer solution for Diophantine equation a1^2+a2^2+...+an^2=a1a2...an. 0
2, 6, 9, 11, 12, 15, 16, 18, 20, 21, 24, 29, 32, 33, 36, 41, 42, 45, 48, 50, 51, 56, 57, 60, 66, 72, 76, 77, 81, 82, 84, 90, 96, 99 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Here all n which is no more than 100 and the correspondent equation has only zero soltuion is provided. In the link, a C++ program calling GMP library is provided to solve such kind of equations.

LINKS

Link for the problem to be solved

A Chinese webpage where the problem is raised

EXAMPLE

Such as for n=3, there're non-zero solutions 3^2+3^2+3^2=3*3*3;3^2+6^2+15^2=3*6*15 and for n=4, there're non-zero solutions 2^2+2^2+2^2+2^2=2*2*2*2;2^2+6^2+22^2+262^2=2*6*22*262 But for n=2, there's no non-zero solutions for equation a^2+b^2=ab

CROSSREFS

Sequence in context: A109600 A071814 A066586 * A133160 A128906 A192420

Adjacent sequences:  A146971 A146972 A146973 * A146975 A146976 A146977

KEYWORD

nonn

AUTHOR

Du, Zhao Hui (zhao.hui.du(AT)gmail.com), Nov 04 2008

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Last modified February 16 11:51 EST 2012. Contains 205908 sequences.