MathDB
Triangular array

Source: JBMO Shortlist 2002

November 12, 2008
combinatorics proposedcombinatorics

Problem Statement

Positive real numbers are arranged in the form: 1   3   6   10   15... 1 \ \ \ 3 \ \ \ 6 \ \ \ 10 \ \ \ 15 ... 2   5   9   14... 2 \ \ \ 5 \ \ \ 9 \ \ \ 14 ... 4   8   13... 4 \ \ \ 8 \ \ \ 13 ... 7   12... 7 \ \ \ 12 ... 11... 11 ... Find the number of the line and column where the number 2002 stays.