3 papers
math.NT2018
On Calculating the Coefficients of a Polynomial Generated Sequence Using the Worpitzky Number Triangles
John K. Sikora
In this paper we show that two of the Worpitzky Number Triangles, OEIS A028246 and A019538, may each be used in look-up table fashion, along with specific diagonals of a polynomial…
math.NT2014
Analysis of the High Water Mark Convergents of Champernowne's Constant in Various Bases
John K. Sikora
In this paper, we show that patterns exist in the properties of the High Water Mark (HWM) convergents of Champernowne's Constant in various bases (Cb), specifically in bases 2 thro…
math.NT2012
On the High Water Mark Convergents of Champernowne's Constant in Base Ten
John K. Sikora
In this paper we show that numerous patterns exist in the properties of the convergents formed by truncating the Continued Fraction Expansion (CFE) of the Champernowne Constant in…