Journal of Integer Sequences, Vol. 26 (2023), Article 23.8.7

Periodic Weighted Sums of Binomial Coefficients


Greg Dresden
Washington & Lee University
Lexington, VA 24450
USA

Yike Li
Beijing City International School
Shuangjing, Chaoyang
Beijing, 100022
China

Abstract:

Using elementary methods, we establish old and new relations between binomial coefficients, Fibonacci numbers, Catalan numbers, Pell numbers, and more.

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(Concerned with sequences A000108 A000129 A001075 A001353 A002203 A007070 A020875 A020876 A056236 A080937 A093131 A126569 A127677 A359311.)

Received October 10 2022; revised versions received March 11 2023; September 7 2023; October 5 2023. Published in Journal of Integer Sequences, October 15 2023.

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