A296137 - OEIS

A296137

Smallest difference between the sums of n-th powers in an ideal solution to Prouhet-Tarry-Escott problem of size n.

1, 2, 12, 144, 25200, 86400

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OFFSET

1,2

COMMENTS

The smallest difference is delivered by the same ideal solutions as in A296136.

LINKS

Table of n, a(n) for n=1..6.

Wikipedia, Prouhet-Tarry-Escott problem

EXAMPLE

For n=4, the smallest difference is delivered by multisets {0,0,5,5} and {-1,2,3,6} with the sums of 4th powers equal 1250 and 1394, respectively. Their difference is 1394-1250 = 144 = a(4).

CROSSREFS

Cf. A296136.

Sequence in context: A221101 A187748 A324140 * A086928 A228551 A001927

Adjacent sequences: A296134 A296135 A296136 * A296138 A296139 A296140

KEYWORD

nonn,hard,more

AUTHOR

Max Alekseyev, Dec 05 2017

STATUS

approved