The Continued Fraction of Sum_{k>=0} 1/(2^k)! and Unperturbed Paper Folding.

Proves the formula for the simple continued fraction of Sum_{k>=0} 1/(2^k)!, and the instances in which the regular paperfolding(and XORed regular paperfolding) runlengths appear in continued fractions unperturbed.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-08-28
DOI
https://doi.org/10.5281/zenodo.17171774
Primary Topic
Geochemistry and Geologic Mapping
Type
article
Field-Weighted Citation Impact
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article

The Continued Fraction of Sum_{k>=0} 1/(2^k)! and Unperturbed Paper Folding.

Zenodo (CERN European Organization for Nuclear Research)
Geochemistry and Geologic Mapping
article

The Continued Fraction of Sum_{k>=0} 1/(2^k)! and Unperturbed Paper Folding.

article en

Abstract

Proves the formula for the simple continued fraction of Sum_{k>=0} 1/(2^k)!, and the instances in which the regular paperfolding(and XORed regular paperfolding) runlengths appear in continued fractions unperturbed.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 32%
Geochemistry and Geologic Mapping
DOIOpen Access PDFOpenAlex
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The Continued Fraction of Sum_{k>=0} 1/(2^k)! and Unperturbed Paper Folding. · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS