In this paper will be presented a method of series expansion for any rational number x to the degrees in range n ∈R. Method is based on n-rank differences between nearest indexed numbers.
Barth, Nils R. (November
2004). "Computing Cavalieri's Quadrature Formula by a Symmetry of then-Cube".
The American Mathematical Monthly (Mathematical Association of America) 111
(9): 811–813. doi:10.2307/4145193. ISSN 0002-9890. JSTOR 4145193, author's
copy, further remarks and resources