Gould, H.W.; Quaintance, Jocelyn

Bernoulli numbers and a new binomial transform identity

J. Integer Seq. 17(2), Article 14.2.2, 6 p., electronic only (2014)

Summary

Summary: Let $(b_{n})_{n \ge 0}$ be the binomial transform of $(a_{n})_{n \ge 0}$. We show how a binomial transformation identity of Chen proves a symmetrical Bernoulli number identity attributed to Carlitz. We then modify Chen's identity to prove a new binomial transformation identity.

Mathematics Subject Classification

11B68, 05A10, 11B65

Keywords/Phrases

Bernoulli number, binomial transform

Downloads