Realizability of some combinatorial sequences

MaRDI QIDQ6496966

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Publication date: 6 May 2024

Published in: Journal of Integer Sequences (Search for Journal in Brave)

zbMATH Keywords

realizabilityDomb numberFranel numbercentral Delannoy numberApéry numberalmost realizability

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Sequences (mod (m)) (11B50) Arithmetic properties of periodic points (37P35)

Cites Work

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• Divisibility properties of sporadic Apéry-like numbers
• A criterion for the log-convexity of combinatorial sequences
• Another congruence for the Apéry numbers
• Domb's numbers and Ramanujan-Sato type series for \(1/\pi\)
• A supercongruence for generalized Domb numbers
• On Wolstenholme's theorem and its converse
• Why Delannoy numbers?
• Log-balanced combinatorial sequences
• The 2-log-convexity of the Apéry Numbers
• Smoothness is not an obstruction to realizability
• Stirling numbers and periodic points
• Fibonacci along even powers is (almost) realizable
• Relations between hypersurface cross ratios, and a combinatorial formula for partitions of a polygon, for permanent preponderance, and for non-associative products
• The Arithmetic of Bell and Stirling Numbers
• Motzkin numbers
• Bell numbers, log-concavity, and log-convexity
• On congruences involving Apéry numbers
• Supercongruences involving Domb numbers and binary quadratic forms
• Gessel-Lucas congruences for sporadic sequences

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