Let In,m = (x₁⋯ xₘ,x₂ ⋯ xₘ₊₁,…,xₙ₊₁xₙ₊₂⋯ xₙ₊ₘ) be the m-path ideal of a path of length $n + m-1$ over a polynomial ring S = k[x₁,…,xₙ₊ₘ]. We compute all the graded Betti numbers of all powers of In,m.
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Bălănescu et al. (2024) studied this question.
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