No CrossRef data available.
Article contents
ALTERNATING CIRCULAR SUMS OF BINOMIAL COEFFICIENTS
Published online by Cambridge University Press: 13 April 2022
Abstract
By combining the generating function approach with the Lagrange expansion formula, we evaluate, in closed form, two multiple alternating sums of binomial coefficients, which can be regarded as alternating counterparts of the circular sum evaluation discovered by Carlitz [‘The characteristic polynomial of a certain matrix of binomial coefficients’, Fibonacci Quart. 3(2) (1965), 81–89].
Keywords
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 106 , Issue 3 , December 2022 , pp. 385 - 395
- Copyright
- © The Author(s), 2022. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.