We give algorithms for the computation of the d-th digit of certain transcendental numbers in various bases. These algorithms can be easily implemented (multiple precision arithmetic is not needed),â€¦ (More)

We study a sequence, c, which encodes the lengths of blocks in the Thue-Morse sequence. In particular, we show that the generating function for c is a simple product. Consider the sequence c : c0;â€¦ (More)

Bergeron had support from NSERC-Canada and FCAR-Qu ebec. We outline an approach for the computation of a good candidate for the generating function of a power series for which only the first fewâ€¦ (More)

Following the first findings that were inspired from Ramanujan Notebooks and other articles, I followed the same idea that the Zeta function (as well as the Psi and Gamma functions) have niceâ€¦ (More)

This article gives a direct formula for the computation of B(n) using the asymptotic formula B (n) â‰ˆ 2 n! Ï€n2n where n is even and n >> 1. This is simply based on the fact that Î¶ (n) is very near 1â€¦ (More)