Lucas sequence
one of certain constant-recursive integer sequences
| rdfs:label |
"Lucas sequence"@en
|
|
skos:alt |
"Lucasovy posloupnosti"@cs
|
| schema:description |
"one of certain constant-recursive integer sequences"@en
|
|
schema:date |
"2026-03-11T09:34:47+00:00"^^xsd:dateTime |
| schema:version | 2471222640 |
| wikibase:identifiers | 6 |
| wikibase:sitelinks | 15 |
| wikibase:statements | 13 |
| p:P10283 | wd:statement/Q1759646-45E11534-4359-48E5-91DA-6BA6C5D159B1 |
| p:P138 | wd:statement/Q1759646-946b9361-4b5f-2066-a401-6fce1815eee2 |
| p:P1417 | wd:statement/Q1759646-442DB878-E7B2-48B2-B2E0-182D8A9EBF9F |
| p:P1889 | wd:statement/Q1759646-93cda172-44d5-97ea-96f1-c6a1d6445f2e |
| p:P2534 | wd:statement/Q1759646-97953097-4c7f-378b-9a69-82246dd9ee98 |
| p:P2581 | wd:statement/Q1759646-8B7DC7A8-CB34-41FA-AD31-346CE40A71B8 |
| p:P279 | wd:statement/Q1759646-1131d1c2-4cea-130e-ea17-ab389c6f5825 |
| wd:statement/Q1759646-6c6b71cf-4be5-1fa1-3ff2-e44934d6d73d | |
| p:P2812 | wd:statement/Q1759646-CE0D3514-C046-4EC0-AF79-840021CBED02 |
| p:P31 | wd:statement/Q1759646-fb4a30b9-4265-2ee4-980d-8599201d46ad |
| p:P6104 | wd:statement/Q1759646-D2320C9A-7493-477F-8F80-E46BF1CD5594 |
| p:P6366 | wd:statement/Q1759646-12C7FC40-0E20-4B5C-8460-271EB878374F |
| p:P646 | wd:statement/Q1759646-E09EFA54-7B63-4865-9DA7-D1726ED28225 |
|
p:direct- |
<http:/ |
|
p:direct- |
<https:/ |
| wdt:P10283 | "C154977054" |
| wdt:P138 | Édouard Lucas |
| wdt:P1417 | "topic/Lucas-sequence" |
| wdt:P1889 | Lucas number |
| wdt:P2534 | "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>U</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">(</mo><mi>P</mi><mo>,</mo><mi>Q</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mn>0</mn><mo>,</mo><mspace width="1em"></mspace><msub><mi>U</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">(</mo><mi>P</mi><mo>,</mo><mi>Q</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mn>1</mn><mo>,</mo><mspace width="1em"></mspace><msub><mi>U</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><mn>2</mn></mrow></mrow></msub><mo stretchy="false">(</mo><mi>P</mi><mo>,</mo><mi>Q</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mi>P</mi><mo stretchy="false">⋅</mo><msub><mi>U</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">(</mo><mi>P</mi><mo>,</mo><mi>Q</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><mi>Q</mi><mo stretchy="false">⋅</mo><msub><mi>U</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">(</mo><mi>P</mi><mo>,</mo><mi>Q</mi><mo stretchy="false">)</mo><mo>,</mo><mspace width="0.167em"></mspace><mi>n</mi><mo stretchy="false">≥</mo><mn>0</mn><mo>;</mo><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">(</mo><mi>P</mi><mo>,</mo><mi>Q</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mn>2</mn><mo>,</mo><mspace width="1em"></mspace><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">(</mo><mi>P</mi><mo>,</mo><mi>Q</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mi>P</mi><mo>,</mo><mspace width="1em"></mspace><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><mn>2</mn></mrow></mrow></msub><mo stretchy="false">(</mo><mi>P</mi><mo>,</mo><mi>Q</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mi>P</mi><mo stretchy="false">⋅</mo><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">(</mo><mi>P</mi><mo>,</mo><mi>Q</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><mi>Q</mi><mo stretchy="false">⋅</mo><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">(</mo><mi>P</mi><mo>,</mo><mi>Q</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P2581 | "03602418n" |
| wdt:P279 | integer sequence |
| constant-recursive sequence | |
| wdt:P2812 | "LucasSequence" |
| wdt:P31 | mathematical concept |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "154977054" |
| wdt:P646 | "/m/036t82" |
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