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Beatty sequence

a sequence of integers formed by rounding down the integer multiples of a positive irrational number
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Beatty sequence

Summary

Beatty sequence ranks in the top 2% of general entities by monthly Wikipedia readership (34 views/month).[1]

Key Facts

  • Samuel Beatty is named after Beatty sequence[2].
  • Beatty sequence's subclass of is recorded as integer sequence[3].
  • Beatty sequence's Freebase ID is recorded as /m/028bxd_[4].
  • Beatty sequence's defining formula is recorded as \mathcal{B}r = \lfloor r \rfloor, \lfloor 2r \rfloor, \lfloor 3r \rfloor,\ldots = ( \lfloor nr \rfloor){n\geq 1}[5].
  • Beatty sequence's MathWorld ID is recorded as BeattySequence[6].
  • Beatty sequence's Quora topic ID is recorded as Beatty-Sequence[7].
  • Beatty sequence's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • Beatty sequence's Microsoft Academic ID is recorded as 30932096[9].

Why It Matters

Beatty sequence ranks in the top 2% of general entities by monthly Wikipedia readership (34 views/month).[1] It has Wikipedia articles in 10 language editions, a strong signal of global cultural recognition.[10] It is known by 3 alternative names across languages and contexts.[11]

References

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

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . Freebase Data Dumps. wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.
  6. [7] ↑ . wikidata.org.
  7. [8] ↑ . wikidata.org.
  8. [9] ↑ . wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [10] ↑ . Wikidata sitelinks. wikidata.org.
  3. [11] ↑ . 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). Beatty sequence. Retrieved April 11, 2026, from https://4ort.xyz/entity/beatty-sequence
MLA “Beatty sequence.” 4ort.xyz Knowledge Graph, 4ort.xyz, 11 Apr. 2026, https://4ort.xyz/entity/beatty-sequence.
BibTeX @misc{4ortxyz_beatty-sequence_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Beatty sequence}}, year = {2026}, url = {https://4ort.xyz/entity/beatty-sequence}, note = {Accessed: 2026-04-11}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Beatty sequence — https://4ort.xyz/entity/beatty-sequence (retrieved 2026-04-11)

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