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

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