Hardinian Arrays

In 2014, R.H. Hardin contributed a family of sequences about king-moves on an array to the On-Line Encyclopedia of Integer Sequences (OEIS). The sequences were recently noticed in an automated search of the OEIS by Kauers and Koutschan, who conjectured a recurrence for one of them. We prove their co...

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Veröffentlicht in:The Electronic journal of combinatorics 2024-04, Vol.31 (2)
Hauptverfasser: Dougherty-Bliss, Robert, Kauers, Manuel
Format: Artikel
Sprache:eng
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Zusammenfassung:In 2014, R.H. Hardin contributed a family of sequences about king-moves on an array to the On-Line Encyclopedia of Integer Sequences (OEIS). The sequences were recently noticed in an automated search of the OEIS by Kauers and Koutschan, who conjectured a recurrence for one of them. We prove their conjecture as well as some older conjectures stated in the OEIS entries. We also have some new conjectures for the asymptotics of Hardin's sequences.
ISSN:1077-8926
1077-8926
DOI:10.37236/12358