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Dutch Mathematical Olympiad

Netherlands algebra

Problem

We order the positive odd integers as follows:
column 1column 2column 3column 4column 5column 6...
row 11311132931...
row 259152733...
row 37172535...
row 4192337...
row 52139...
row 641...
......
For each odd number we can determine in which row and column it is placed. For example, the number is placed in row and column . What number is placed in row and column ? A) B) C) D) E)
Solution
D)
Final answer
D

Techniques

IntegersSums and products