Infinite families of solutions of the equation \binom{𝑛}𝑘=2\binom{𝑎}𝑏

DOI10.1090/S0025-5718-98-01002-3zbMath0957.11059MaRDI QIDQ4210968

Pierre Goetgheluck

Publication date: 10 September 1998

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

binomial coefficient

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Computer solution of Diophantine equations (11Y50) Recurrences (11B37) Diophantine equations (11D99)

Related Items (1)

Irrational dilations of Pascal's triangle

Cites Work

• On the ratio of values of a polynomial
• L'equation diophantienne x(x+1)=ky(y+1)
• Equal binomial coefficients: Some elementary considerations
• Résolution en nombres entiers de l'équation diophantienne \(n(n+1)=2n'(n'+1)\)
• On Prime Divisors of Binomial Coefficients
• Computing Binomial Coefficients
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