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Foias constant

in mathematics, the unique positive real ๐‘ฅโ‚ such that the sequence ๐‘ฅโ‚™โ‚Šโ‚โ‰”(1+1โˆ•๐‘ฅโ‚™)โฟ diverges to +โˆž rather than oscillating between +โˆž and 1
Thing mathematical_constant Q15634948
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Foias constant

Summary

Foias constant is a mathematical constant[1]. It draws 9 Wikipedia views per month (mathematical_constant category, ranking #38 of 48).[2]

Key Facts

  • Foias constant's instance of is recorded as mathematical constant[3].
  • Foias constant's instance of is recorded as positive real number[4].
  • Ciprian Foias is named after Foias constant[5].
  • Foias constant's Freebase ID is recorded as /m/0wpxlwp[6].
  • Foias constant's OEIS ID is recorded as A085848[7].
  • Foias constant's numeric value is recorded as {'amount': '+1.18745235112650105459548015839651935121569268158586035301010412619878041872352540738702465760608657943378'}[8].
  • Foias constant's defining formula is recorded as x_1: x_{n+1} = \left( 1 + \frac{1}{x_n} \right)^n\to\infty[9].
  • Foias constant's MathWorld ID is recorded as FoiasConstant[10].
  • Foias constant's schematic is recorded as Foias constant sequence.png[11].
  • Foias constant's maintained by WikiProject is recorded as WikiProject Mathematics[12].
  • Foias constant's ProofWiki ID is recorded as Definition:Foiaศ™_Constant/Second[13].

Why It Matters

Foias constant draws 9 Wikipedia views per month (mathematical_constant category, ranking #38 of 48).[2] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[14] It is known by 6 alternative names across languages and contexts.[15]

References

Programmatic citations โ€” every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] โ†‘ . wikidata.org.
  2. [4] โ†‘ . wikidata.org.
  3. [5] โ†‘ . wikidata.org.
  4. [6] โ†‘ . wikidata.org.
  5. [7] โ†‘ . wikidata.org.
  6. [8] โ†‘ . wikidata.org.
  7. [9] โ†‘ . wikidata.org.
  8. [10] โ†‘ . wikidata.org.
  9. [11] โ†‘ . wikidata.org.
  10. [12] โ†‘ . wikidata.org.
  11. [13] โ†‘ . wikidata.org.

Class ancestry

  1. [1] โ†‘ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] โ†‘ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [14] โ†‘ . Wikidata sitelinks. wikidata.org.
  3. [15] โ†‘ . Wikidata aliases. wikidata.org.

๐Ÿ“‘ Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Foias constant. Retrieved May 3, 2026, from https://4ort.xyz/entity/foias-constant
MLA “Foias constant.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/foias-constant.
BibTeX @misc{4ortxyz_foias-constant_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Foias constant}}, year = {2026}, url = {https://4ort.xyz/entity/foias-constant}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Foias constant — https://4ort.xyz/entity/foias-constant (retrieved 2026-05-03)

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