MathDB
2014 Fall Team #9

Source:

March 26, 2022
combinatoricsnumber theory

Problem Statement

There is a long-standing conjecture that there is no number with 2n+12n + 1 instances in Pascal’s triangle for n2n \ge 2. Assuming this is true, for how many n100,000n \le 100, 000 are there exactly 33 instances of nn in Pascal’s triangle?