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- W4300706022 abstract "We consider a family of nonlinear rational recurrences of odd order which was introduced by Heideman and Hogan. All of these recurrences have the Laurent property, implying that for a particular choice of initial data (all initial values set to 1) they generate an integer sequence. For these particular sequences, Heideman and Hogan gave a direct proof of integrality by showing that the terms of the sequence also satisfy a linear recurrence relation with constant coefficients. Here we present an analogous result for the general solution of each of these recurrences." @default.
- W4300706022 created "2022-10-04" @default.
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- W4300706022 date "2016-10-23" @default.
- W4300706022 modified "2023-09-26" @default.
- W4300706022 title "On the general solution of the Heideman-Hogan family of recurrences" @default.
- W4300706022 doi "https://doi.org/10.48550/arxiv.1610.07199" @default.
- W4300706022 hasPublicationYear "2016" @default.
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