If the ordinary generating function of a sequence \{a_{n}\} _{n = 0}^{\infty} is \frac{1 + z}{ (1−z) ^{3}}, then a 3 – a 0 is equal to ______.

GATE Computer Science (CS) 2017 Shift 2 Solved Paper

Question : 57 of 65

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If the ordinary generating function of a sequence

\{a_{n}\} _{n = 0}^{∞}

\;{1\;+\;z}/{\;(1−z)\;^{3}}

, then a₃ – a₀ is equal to ______.

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