Combinatorics and Graph Theory · Problem 3.1.5

Generating Functions — David Guichard

Mathematics — Combinatorics · generating-functions-counting

Problem

Find the generating function for the number of solutions to x1+x2+x3+x4=kx_1 + x_2 + x_3 + x_4 = k, where 0≤x1≤∞0 \leq x_1 \leq \infty, 3≤x2≤∞3 \leq x_2 \leq \infty, 2≤x3≤52 \leq x_3 \leq 5, 1≤x4≤51 \leq x_4 \leq 5.

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