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Direct Generation of a Somos-4 Sequence from an Algebraic Generating Function

Scheuerle, Thomas
arXiv (OAI Expanded) · Papers
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combinatorics
We construct a five-parameter quadratic algebraic generating function whose coefficient sequence has prescribed initial Hankel determinants $(λ,m,r,η)$ and whose Hankel transform belongs to the Somos-4 family $A(1,τ)$. The construction starts from a Stieltjes continued fraction whose coefficients ar
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