Central binomial coefficients divisible by or coprime to their indices

DOI10.1142/S1793042118500707zbMath1403.11011MaRDI QIDQ4639972

Carlo Sanna

Publication date: 15 May 2018

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

divisibilitycentral binomial coefficientupper densitylower density

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07) Distribution of integers with specified multiplicative constraints (11N25) Divisibility and factorizations in commutative rings (13A05)

Related Items (5)

On a divisor of the central binomial coefficient ⋮ The moments of the logarithm of a G.C.D. related to Lucas sequences ⋮ Divisibility of the central binomial coefficient $\binom {2n}{n}$ ⋮ Unnamed Item ⋮ Practical numbers among the binomial coefficients

Uses Software

• OEIS

Cites Work

• Index divisibility in dynamical sequences and cyclic orbits modulo \(p\)
• On numbers \(n\) relatively prime to the \(n\)th term of a linear recurrence
• The Distribution of Self-Fibonacci Divisors
• On numbers n dividing the nth term of a linear recurrence
• On numbers n dividing the nth term of a Lucas sequence
• Divisors of the Middle Binomial Coefficient
• A NOTE ON ERDŐS–STRAUS AND ERDŐS–GRAHAM DIVISIBILITY PROBLEMS (WITH AN APPENDIX BY ANDRZEJ SCHINZEL)
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• Unnamed Item
• Unnamed Item
• Unnamed Item

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