find position of 2015 in a table
Source: JBMO Shortlist 2015 C3
April 24, 2019
combinatoricspositive integersArraytable
Problem Statement
Positive integers are put into the following table.\begin{tabular}{|l|l|l|l|l|l|l|l|l|l|}
\hline
1 & 3 & 6 & 10 & 15 & 21 & 28 & 36 & & \\ \hline
2 & 5 & 9 & 14 & 20 & 27 & 35 & 44 & & \\ \hline
4 & 8 & 13 & 19 & 26 & 34 & 43 & 53 & & \\ \hline
7 & 12 & 18 & 25 & 33 & 42 & & & & \\ \hline
11 & 17 & 24 & 32 & 41 & & & & & \\ \hline
16 & 23 & & & & & & & & \\ \hline
... & & & & & & & & & \\ \hline
... & & & & & & & & & \\ \hline
\end{tabular}Find the number of the line and column where the number stays.