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A049406
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From a solution to the Prouhet-Tarry-Escott problem: 3^n + 5^n + 30^n + 57^n + 104^n + 116^n + 186^n + 198^n + 245^n + 272^n + 297^n + 299^n.
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1
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12, 1812, 413874, 104854098, 27893252694, 7632971084682, 2127510153712374, 600674464913818938, 171205557239739747654, 49150278329342053633482, 14189870202126851375980374, 4115100811187433413293653978, 1197749131382044008056854855014
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OFFSET
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0,1
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COMMENTS
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REFERENCES
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R. K. Guy, Unsolved Problems in the Theory of Numbers, Section D1.
Posting by Chen Shuwen (jmchen(AT)pub.jiangmen.gd.cn) to Number Theory List, Sep 09, 1999.
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LINKS
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EXAMPLE
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12 + 1812*x + 413874*x^2 + 104854098*x^3 + 27893252694*x^4 + ...
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MATHEMATICA
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Table[Total[{3, 5, 30, 57, 104, 116, 186, 198, 245, 272, 297, 299}^n], {n, 0, 15}] (* Harvey P. Dale, Jan 05 2023 *)
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PROG
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(PARI) {a(n) = if( n < 0, 0, 3^n + 5^n + 30^n + 57^n + 104^n + 116^n + 186^n + 198^n + 245^n + 272^n + 297^n + 299^n)} /* Michael Somos, Mar 26 2012 */
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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