The degeneracy of k-dimentional harmonic oscillator is given by
"\\displaystyle g(n,k) = \\frac{(n+k-1)!}{n!(k-1)!}"
where n is the n-th energy level.
So, for 2D harmonic oscillator one obtains
"\\displaystyle g(n,2)= \\frac{(n+1)!}{n! } = n+1"
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