Let be a function

MATHEMATICS · Subjective · AoPS · Mathematics · Functions · Functions

Problem

Let f:{x1,x2,x3}→{1,2,3,4,…,13}f:\{x_1,x_2,x_3\}\to\{1,2,3,4,\dots,13\} be a function. The number of functions ff such that f(xi+1)−f(xi)=2f(x_{i+1})-f(x_i)=2 for i=1,2i=1,2 is:

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