Faulhaber's formula

expression for sums of powers
Intangible formula Q1398443
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Faulhaber's formula

Summary

Faulhaber's formula is a formula[1]. It ranks in the top 5% of formula entities by monthly Wikipedia readership (314 views/month).[2]

Key Facts

  • Faulhaber's formula's instance of is recorded as formula[3].
  • Johann Faulhaber is named after Faulhaber's formula[4].
  • Faulhaber's formula's part of is recorded as Category:Theory of summation formulas for natural numbers[5].
  • Faulhaber's formula's Freebase ID is recorded as /m/0glj68[6].
  • Faulhaber's formula's defining formula is recorded as \sum_{k=11}^nk^p=\frac1{p+1}\sum_{i=0}^p\binom{p+1}iB_in^{p+1-i}\qquad(B_1=1/2)[7].
  • Faulhaber's formula's MathWorld ID is recorded as FaulhabersFormula[8].
  • Faulhaber's formula's maintained by WikiProject is recorded as WikiProject Mathematics[9].
  • Faulhaber's formula's Microsoft Academic ID is recorded as 166177592[10].
  • Faulhaber's formula's in defining formula is recorded as B_i[11].

Why It Matters

Faulhaber's formula ranks in the top 5% of formula entities by monthly Wikipedia readership (314 views/month).[2] It has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.[12] It is known by 9 alternative names across languages and contexts.[13]

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] . wikidata.org.
  4. [6] . Freebase Data Dumps. wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [12] . Wikidata sitelinks. wikidata.org.
  3. [13] . 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). Faulhaber's formula. Retrieved May 3, 2026, from https://4ort.xyz/entity/faulhaber-s-formula
MLA “Faulhaber's formula.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/faulhaber-s-formula.
BibTeX @misc{4ortxyz_faulhaber-s-formula_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Faulhaber's formula}}, year = {2026}, url = {https://4ort.xyz/entity/faulhaber-s-formula}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Faulhaber's formula — https://4ort.xyz/entity/faulhaber-s-formula (retrieved 2026-05-03)

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