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probname); ?>
Topic Classification: nid, "Topic Classification"); ?> Tags: nid, "Problem Tag");?>
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Supplies: nid, "Supplies"); ?> Pedagogy: nid, "Pedagogy"); ?>
Grade Vs Difficulty:
  EasyModerateChallengingPerplexing
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Solution: nid, "Solution"); ?>
Problem

Compute the generating function $\displaystyle G(x) := \sum_{ n \ge 0 } g_n \, x^n$ for the sequence $\left( g_n \right)_{ n \ge 0 }$ given by the recursion \[ g_0 = g_{34} = 0 , \ g_{ n+2 } = g_{ n+1 } + g_n \ \text{ for } n \ge 0 \, . \] If you feel like it, derive a closed form for $g_n$.

Details
Contributer: Matt
Authors
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References
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Problem Sets This Problem Belongs to:
parent_nid; ?> Set:
VARIABLES
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DEFINITIONS
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