A049405 From a solution to the Prouhet-Tarry-Escott problem: 0^n + 11^n + 24^n + 65^n + 90^n + 129^n + 173^n + 212^n + 237^n + 278^n + 291^n + 302^n.

12, 1812, 413874, 104854098, 27893252694, 7632971084682, 2127510153712374, 600674464913818938, 171205557239739747654, 49150278329342053633482, 14189870202126851375980374, 4115100811187433413293653978, 1197749940665578724169503047014

Offset

0,1

Comments

Agrees with A049406 up to n=11.

References

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.

Links

Table of n, a(n) for n=0..12.

More info (1)

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Example

G.f. = 12 + 1812*x + 413874*x^2 + 104854098*x^3 + 27893252694*x^4 + ...

Prog

(PARI) {a(n) = if( n<0, 0, 0^n + 11^n + 24^n + 65^n + 90^n + 129^n + 173^n + 212^n + 237^n + 278^n + 291^n + 302^n)}; /* Michael Somos, Mar 26 2012 */

Crossrefs

Cf. A049406.

Sequence in context: A013479 A090914 A049406 * A229752 A104009 A261946

Adjacent sequences: A049402 A049403 A049404 * A049406 A049407 A049408

Keyword

nonn,easy

Author

Michael Somos, Sep 09 1999

Status

approved