Stirling number of the first kind

number of permutations of n elements with k disjoint cycles
Thing stirling_number Q2657556
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Stirling number of the first kind

Summary

Stirling number of the first kind is a Stirling number[1]. It draws 180 Wikipedia views per month (stirling_number category, ranking #2 of 2).[2]

Key Facts

  • Stirling number of the first kind's instance of is recorded as Stirling number[3].
  • Stirling number of the first kind's followed by is recorded as Stirling number of the second kind[4].
  • Stirling number of the first kind's Freebase ID is recorded as /m/025s6b0[5].
  • Stirling number of the first kind's OEIS ID is recorded as A008275[6].
  • Stirling number of the first kind's defining formula is recorded as x^{\overline n}=\sum_{k=0}^n\left[{n \atop k}\right]x^k[7].
  • Stirling number of the first kind's MathWorld ID is recorded as StirlingNumberoftheFirstKind[8].
  • Stirling number of the first kind's Microsoft Academic ID is recorded as 93765064[9].
  • Stirling number of the first kind's in defining formula is recorded as \left[{a\atop k}\right][10].
  • Stirling number of the first kind's in defining formula is recorded as x^{\overline n}[11].
  • Stirling number of the first kind's Namuwiki ID is recorded as 제1종 스털링 수[12].
  • Stirling number of the first kind's OpenAlex ID is recorded as C93765064[13].

Why It Matters

Stirling number of the first kind draws 180 Wikipedia views per month (stirling_number category, ranking #2 of 2).[2] It has Wikipedia articles in 8 language editions, a strong signal of global cultural recognition.[14] It is known by 5 alternative names across languages and contexts.[15]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . Freebase Data Dumps. wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

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

📑 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). Stirling number of the first kind. Retrieved May 3, 2026, from https://4ort.xyz/entity/stirling-number-of-the-first-kind
MLA “Stirling number of the first kind.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/stirling-number-of-the-first-kind.
BibTeX @misc{4ortxyz_stirling-number-of-the-first-kind_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Stirling number of the first kind}}, year = {2026}, url = {https://4ort.xyz/entity/stirling-number-of-the-first-kind}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Stirling number of the first kind — https://4ort.xyz/entity/stirling-number-of-the-first-kind (retrieved 2026-05-03)

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