Roland Miyamoto

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math.CO2026

Golombic and Levine sequences

Johan Claes, Roland Miyamoto

We investigate and generalise Levine sequences like A011784, A061892 and A061894 and develop an algebraic theory for them. We thereby also cover other fast growing sequences like A…

math.CO2024

Polynomial parametrisation of the canonical iterates to the solution of $- γ g^{'} = g^{- 1}$

Roland Miyamoto

The iterates $h_{0}, h_{1}, h_{2}, \dots$ constructed in [8,5] and converging to the only solution $g = h : [0, 1] \to [0, 1]$ of the iterative differential equation $- γ g^{'} = g^{- 1}$ , $γ > 0$ , ar…

Golombic and Levine sequences

Polynomial parametrisation of the canonical iterates to the solution of −γg′=g−1

Polynomial parametrisation of the canonical iterates to the solution of $- γ g^{'} = g^{- 1}$