MathDB
1999 HMMT Team #7

Source:

March 8, 2024
algebra

Problem Statement

Let 11−x−x2−x3=∑i=0∞anxn\frac{1}{1-x-x^2-x^3} =\sum^{\infty}_{i=0} a_nx^n, for what positive integers nn does an−1=n2a_{n-1} = n^2?
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