A toy store has train wagons of three kinds: wagons of length 1, wagons of length 2,

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A toy store has train wagons of three kinds: wagons of length 1, wagons of length 2, and wagons of length 3, schematically represented below.

Let tn be the number of different trains of length n that can be constructed using these wagons, where we assume that the orientation of a train matters so that the two trains below are considered distinct.

1. Compute tz by listing all the possible trains of length 3.

2. Find a recurrence relation for tn (remember to give initial values).

Related Book For answer-question

Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Posted Date: Jun 02, 2020 07:19 AM

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A toy store has train wagons of three kinds: wagons of length 1, wagons of length 2,

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Applied Linear Algebra

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