The Akiyama-Tanigawa algorithm for Carlitz’s \(q\)-Bernoulli numbers. (English) Zbl 1134.11311
Summary: We show that the Akiyama-Tanigawa algorithm and Chen’s variant for computing Bernoulli numbers can be generalized to Carlitz’s \(q\)-Bernoulli numbers. We also put these algorithms in the larger context of generalized Euler-Seidel matrices.
MSC:
11B68 | Bernoulli and Euler numbers and polynomials |
11B65 | Binomial coefficients; factorials; \(q\)-identities |