## Abstract

Letting \((t_n)\) denote the Thue–Morse sequence with values 0, 1, we note that the Woods–Robbins product

involves a rational function in *n* and the ± 1 Thue–Morse sequence \(((-1)^{t_n})_{n \ge 0}\). The purpose of this paper is twofold. On the one hand, we try to find other rational functions for which similar infinite products involving the ± 1 Thue–Morse sequence have an expression in terms of known constants. On the other hand, we also try to find (possibly different) rational functions *R* for which the infinite product \(\prod R(n)^{t_n}\) also has an expression in terms of known constants.

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Allouche, JP., Riasat, S. & Shallit, J. More infinite products: Thue–Morse and the gamma function.
*Ramanujan J* **49**, 115–128 (2019). https://doi.org/10.1007/s11139-017-9981-7

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DOI: https://doi.org/10.1007/s11139-017-9981-7