Lukas Spiegelhofer

activity

20152025

most citedNormality of the Thue--Morse sequence along Piatetski-Shapiro sequences, II

21 citations · 60 across the 22 of their papers we have counts for

collaborators

Showing 2017 · math.COShow all

2 papers · 2 filters

math.CO2017

Continuants, run lengths, and Barry's modified Pascal triangle

Jeffrey Shallit, Lukas Spiegelhofer

We show that the $n$ 'th diagonal sum of Barry's modified Pascal triangle can be described as the continuant of the run lengths of the binary representation of $n$ . We also obtain a…

math.CO2017

The Tu--Deng Conjecture holds almost surely

Lukas Spiegelhofer, Michael Wallner

The Tu--Deng Conjecture is concerned with the sum of digits $w (n)$ of $n$ in base~ $2$ (the Hamming weight of the binary expansion of $n$ ) and states the following: assume that $k$ …