Order-3 pi recurrences lift from order-2 Apéry kernels (A036917, A002895, Gauss twist) in a Sym² CMF setup, with an inverse classification for Fuchsian operators and 11 new integer sequences from Belyi scans.
Clausen, Ueber die Fälle, wenn die Reihe von der Formy = 1 +···ein Quadrat von der Formz= 1 +···hat,Journal für die reine und angewandte Mathematik3(1828), 89–91
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Order-3 pi-formulas, Apery-like kernels, and Clausen functoriality for Conservative Matrix Fields
Order-3 pi recurrences lift from order-2 Apéry kernels (A036917, A002895, Gauss twist) in a Sym² CMF setup, with an inverse classification for Fuchsian operators and 11 new integer sequences from Belyi scans.