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math.NT2014★ 9 cited
Hankel determinants of the Cantor sequence
Zhi-xiong Wen, Wen Wu
In the paper, we give the recurrent equations of the Hankel determinants of the Cantor sequence, and show that the Hankel determinants as a double sequence is 3-automatic. With the…
math.NT2014★ 2 cited
Explicit evaluations of the Hankel determinants of a Thue--Morse-like sequence
Guo-Niu Han, Wen Wu
We obtain the explicit evaluations of the Hankel determinants of the formal power series where , and prove that the sequence of…
math.NT2014★ 7 cited
On the regular sum-free sets
Zhi-Xiong Wen, Wen Wu, Jie-Meng Zhang
Cameron introduced a bijection between the set of sum-free sets and the set of all zero-one sequences. In this paper, we study the sum-free sets of natural numbers corresponding to…