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 runlengths and the runlengths of the first absolute differences(XORed) of the regular paperfolding sequence 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.17180169
Primary Topic
Geochemistry and Geologic Mapping
Type
article
Field-Weighted Citation Impact
0.00
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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 runlengths and the runlengths of the first absolute differences(XORed) of the regular paperfolding sequence appear in continued fractions unperturbed.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 31%
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