Many thanks, Joshua. Am copying to Paul Muljadi in case he's not on the network. If he, or anyone else, pursues the B & C reference, please let me know. R. On Fri, 11 Apr 2008, Joshua Zucker wrote:
On Fri, Apr 11, 2008 at 2:56 PM, Richard Guy <rkg@cpsc.ucalgary.ca> wrote:
On Fri, 11 Apr 2008, Paul Muljadi wrote:
Tarry-Escott solution: 492^1 + 276^1 + 618^1 + 834^1 = 294^1 + 438^1 + 816^1 + 672^1 492^2 + 276^2 + 618^2 + 834^2 = 294^2 + 438^2 + 816^2 + 672^2 492^3 + 276^3 + 618^3 + 834^3 = 294^3 + 438^3 + 816^3 + 672^3.
Wikipedia has it but with no citation; Mathworld doesn't have it.
J.L.Burchnall & T.W.Chaundy, A type of "Magic Square" in Tarry's problem,Quart. J. Math., 8(1937), 119-130 looks promising, but I don't have that journal; if you have the right kind of subscription you can find it at http://qjmath.oxfordjournals.org/content/volos-8/issue1/index.dtl and see if it does indeed contain this fact.
That's about all I could find ... the other 1937 articles on the Tarry-Escott problem seem to cite this one but they don't have this result.
--Joshua Zucker
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