# 1.Find the generating function for the sequence an, where an is the number of natural solutions to the equation x1

+ x2 + 2x3 + 5x4 = n with xi ≥ 0 for i = 1, 2, 3, 4.

2.Show that the number of partitions of 2n into distinct even parts isequal to the number of partitions of n into odd parts.

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