Formula for the continued fraction expansion of Sum_{k>=0} (-1)^k/(k!)!.

Derives and proves the formula for the continued fraction expansion of Sum_{k>=0} (-1)^k/(k!)!.See https://oeis.org/A386384 for the terms and program in Python to generate the terms of the continued fraction.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-08-15
DOI
https://doi.org/10.5281/zenodo.16938642
Primary Topic
Geochemistry and Geologic Mapping
Type
article
Field-Weighted Citation Impact
0.00
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article

Formula for the continued fraction expansion of Sum_{k>=0} (-1)^k/(k!)!.

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

Formula for the continued fraction expansion of Sum_{k>=0} (-1)^k/(k!)!.

article en

Abstract

Derives and proves the formula for the continued fraction expansion of Sum_{k>=0} (-1)^k/(k!)!.See https://oeis.org/A386384 for the terms and program in Python to generate the terms of the continued fraction.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 67%
Geochemistry and Geologic Mapping
DOIOpen Access PDFOpenAlex
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Formula for the continued fraction expansion of Sum_{k>=0} (-1)^k/(k!)!. · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS