SHMARQL

Lucas number

<http://www.wikidata.org/entity/Q2503280>

number in the Lucas sequence where each number is the sum of the two preceding it (2, 1, 3, 4, 7, 11, ...)
rdfs:label
"Lucas number"@en
skos:altLabel
"Vn(1,−1)"@en
"sequence of Lucas numbers"@en
schema:description
"number in the Lucas sequence where each number is the sum of the two preceding it (2, 1, 3, 4, 7, 11, ...)"@en
schema:dateModified "2026-11-13T21:40:36+00:00"^^xsd:dateTime
schema:version 2568876456
wikibase:identifiers 6
wikibase:sitelinks 27
wikibase:statements 19
p:P10283 wd:statement/Q2503280-D9440C39-4BA2-4E96-95F2-D2C6630602CB
p:P138 wd:statement/Q2503280-c4c1939f-4d92-200f-1e49-f8c540ae29a2
p:P1889 wd:statement/Q2503280-05e6e41e-4f85-6d3a-e31a-291e44789a03
p:P2534 wd:statement/Q2503280-2945dfeb-41d8-cf0a-324c-42a629e12e2d
wd:statement/Q2503280-2F08E43D-0886-46FE-BBDD-EB9F4F77F182
wd:statement/Q2503280-a4902d7d-413e-d933-4722-8f835357d3ba
p:P279 wd:statement/Q2503280-43E415AD-E604-472E-8585-D805BCFEC8EB
p:P2812 wd:statement/Q2503280-849930D4-B3AD-43D2-9DFE-5FB36A64495D
p:P31 wd:statement/Q2503280-37ccddae-4701-fa0b-95cf-08f72c9de432
wd:statement/Q2503280-b9d6a7d1-4864-050a-ae0d-250eed4e6a43
p:P3417 wd:statement/Q2503280-FC136E0B-6B66-42BC-86B2-2F58FB1192D5
p:P6104 wd:statement/Q2503280-78EB2748-C499-4D07-83B0-0BB5161B2D6D
p:P6366 wd:statement/Q2503280-F867739F-C2F9-4764-B1E9-65E91D3809CF
p:P646 wd:statement/Q2503280-D6B4823B-260C-45FD-8085-7EEC9C9EC086
p:P7235 wd:statement/Q2503280-06200350-4ee4-6152-dd6a-8a98d3bf351b
wd:statement/Q2503280-2382255f-4545-6e51-f20d-011294dd9f01
wd:statement/Q2503280-47c34463-4c92-7db2-1be4-4dc77566be82
wd:statement/Q2503280-893cb3cf-4ec8-8115-1504-43ccb426568a
p:P829 wd:statement/Q2503280-4e0f50ba-43df-d0e6-a1d2-ef99f2a5eef1
p:direct-normalized/P6366 <https://makg.org/entity/3634175>
wdt:P10283 "C3634175"
wdt:P138 Édouard Lucas
wdt:P1889 Lucas sequence
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"><mi>L</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mo stretchy="false">&#x2212;</mo><mi>x</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">&#x2212;</mo><mi>x</mi><mo stretchy="false">&#x2212;</mo><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<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>L</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">=</mo><msub><mi>L</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">&#x2212;</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>L</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">&#x2212;</mo><mn>2</mn></mrow></mrow></msub><mo>,</mo><msub><mi>L</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">=</mo><mn>1</mn><mo>,</mo><msub><mi>L</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">=</mo><mn>2</mn></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<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>L</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">=</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mfrac><mrow><mn>1</mn><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><msqrt><mn>5</mn></msqrt></mrow></mrow><mrow><mn>2</mn></mrow></mfrac><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msup><mo stretchy="false">+</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mfrac><mrow><mn>1</mn><mo stretchy="false">&#x2212;</mo><mrow data-mjx-texclass="ORD"><msqrt><mn>5</mn></msqrt></mrow></mrow><mrow><mn>2</mn></mrow></mfrac><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msup></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P279 positive integer
wdt:P2812 "LucasNumber"
wdt:P31 Lucas sequence
mathematical concept
wdt:P3417 "Lucas-Number"
wdt:P6104 WikiProject Mathematics
wdt:P6366 "3634175"
wdt:P646 "/m/023kbk"
wdt:P7235 "<math class="mwe-math-element mwe-math-element-inline mathjax_ignore" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>L</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<math class="mwe-math-element mwe-math-element-inline mathjax_ignore" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<math class="mwe-math-element mwe-math-element-inline mathjax_ignore" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<math class="mwe-math-element mwe-math-element-inline mathjax_ignore" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>L</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P829 "A000032"
Download as:
TurtleJSON-LDRDF/XML
data from SPARQL profile: Wikidata