MathDB

Consider a

7\times 7

numbers table a_{ij} \equal{} (i^2 \plus{} j)(i \plus{} j^2), 1\le i,j\le 7. When we add arbitrarily each term of an arithmetical progression consisting of

7

integers to corresponding to term of certain row (or column) in turn, call it an operation. Determine whether such that each row of numbers table is an arithmetical progression, after a finite number of operations.

Problem Statement