MathDB
IMC 2019 day 1 problem 4

Source: IMC 2019 Day 1 P4

July 30, 2019
IMCrecurrence relationSequencesSequencecollege contestsgenerating functions

Problem Statement

Let (n+3)an+2=(6n+9)an+1−nan(n+3)a_{n+2}=(6n+9)a_{n+1}-na_n and a0=1a_0=1 and a1=2a_1=2 prove that all the terms of the sequence are integers
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