olymmath

ÖMO 2011 Problem 1

  • Day 1

Every brick has 55 holes in a line. The holes can be filled with bolts (fi tting in one hole) and braces (fi tting into two neighboring holes). No hole may remain free. One puts nn of these bricks in a line to form a pattern from left to right. In this line no two braces and no three bolts may be adjacent. How many diff erent such patterns can be produced with nn bricks?

Dataset text AI-MO AoPS. Quoted with source.

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