@prefix p: <http://www.wikidata.org/prop/> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix schema1: <http://schema.org/> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix wd: <http://www.wikidata.org/entity/> .
@prefix wds: <http://www.wikidata.org/entity/statement/> .
@prefix wdt: <http://www.wikidata.org/prop/direct/> .
@prefix wdtn: <http://www.wikidata.org/prop/direct-normalized/> .
@prefix wikibase: <http://wikiba.se/ontology#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

wd:Q2503280 rdfs:label "عدد لوكاس"@ar,
        "লুকাস রাশিমালা"@bn,
        "Nombre de Lucas"@ca,
        "Lucasovo číslo"@cs,
        "Lucas-Zahlen"@de,
        "Lucas number"@en,
        "Lucas number"@en-ca,
        "Lucas number"@en-gb,
        "sucesión de números de Lucas"@es,
        "دنباله لوکاس"@fa,
        "Lucasin lukujono"@fi,
        "nombre de Lucas"@fr,
        "מספרי לוקאס"@he,
        "Lucas-számok"@hu,
        "successione di Lucas"@it,
        "リュカ数"@ja,
        "Люка саны"@kk,
        "ليۋكا سانى"@kk-arab,
        "Люка саны"@kk-cyrl,
        "Lyuka sanı"@kk-latn,
        "루카스 넘버"@ko,
        "Ликин број"@mk,
        "rij van Lucas"@nl,
        "ciąg Lucasa"@pl,
        "nùmer ëd Lucas"@pms,
        "sequência de números de Lucas"@pt,
        "număr Lucas"@ro,
        "числа Люка"@ru,
        "zaporedje Lucasovih števil"@sl,
        "Лукас број"@sr,
        "Lucastal"@sv,
        "число Люка"@uk,
        "số Lucas"@vi,
        "Lucasi arv"@vro,
        "卢卡斯数"@zh,
        "卢卡斯数"@zh-hans,
        "盧卡斯數"@zh-hant,
        "盧卡斯數"@zh-hk ;
    schema1:dateModified "2026-11-13T21:40:36+00:00"^^xsd:dateTime ;
    schema1:description "متسلسلة من الأرقام اللامتناهية، حيث يتكون الرقم من مجموع الرقمين الذين يسبقانه في السلسله"@ar,
        "পূর্ণসংখ্যার ধারা"@bn,
        "číslo patřící do posloupnosti čísel, kde každé číslo je součtem dvou předchozích"@cs,
        "number in the Lucas sequence where each number is the sum of the two preceding it (2, 1, 3, 4, 7, 11, ...)"@en,
        "serie de números enteros positivos en la que el término siguiente es la suma de sus dos antecesores (2, 1, 3, 4, 7, 11, ...)"@es,
        "nombres de la suite de Lucas, dans laquelle chaque élément est la somme des deux nombres qui le précèdent"@fr,
        "pozitív egész számokból álló sorozat"@hu,
        "初項を 2、次の項を 1 と定義し、以降の項は前の二つの項の和になっている数列の各項の値"@ja,
        "variant op de rij van Fibonacci"@nl,
        "sequência infinita de números inteiros em que cada termo é a soma dos dois anteriores (2, 1, 3, 4, 7, 11, ...)"@pt,
        "număr din secvența Lucas, unde fiecare număr este suma celor două care îl preced (2, 1, 3, 4, 7, 11, ...)"@ro,
        "рекуррентная целочисленная последовательность"@ru ;
    schema1:version 2568876456 ;
    wikibase:identifiers 6 ;
    wikibase:sitelinks 27 ;
    wikibase:statements 19 ;
    skos:altLabel "nombres de Lucas"@ca,
        "Lucasova čísla"@cs,
        "Vn(1,−1)"@en,
        "sequence of Lucas numbers"@en,
        "numero de Lucas"@es,
        "número de Lucas"@es,
        "Vn(1,−1)"@pt,
        "número de Lucas"@pt,
        "последовательность Лука"@ru,
        "число Люка"@ru,
        "числа Люка"@uk,
        "dãy Lucas"@vi,
        "dãy số Lucas"@vi,
        "魯卡數"@zh ;
    p:P10283 wds:Q2503280-D9440C39-4BA2-4E96-95F2-D2C6630602CB ;
    p:P138 wds:Q2503280-c4c1939f-4d92-200f-1e49-f8c540ae29a2 ;
    p:P1889 wds:Q2503280-05e6e41e-4f85-6d3a-e31a-291e44789a03 ;
    p:P2534 wds:Q2503280-2945dfeb-41d8-cf0a-324c-42a629e12e2d,
        wds:Q2503280-2F08E43D-0886-46FE-BBDD-EB9F4F77F182,
        wds:Q2503280-a4902d7d-413e-d933-4722-8f835357d3ba ;
    p:P279 wds:Q2503280-43E415AD-E604-472E-8585-D805BCFEC8EB ;
    p:P2812 wds:Q2503280-849930D4-B3AD-43D2-9DFE-5FB36A64495D ;
    p:P31 wds:Q2503280-37ccddae-4701-fa0b-95cf-08f72c9de432,
        wds:Q2503280-b9d6a7d1-4864-050a-ae0d-250eed4e6a43 ;
    p:P3417 wds:Q2503280-FC136E0B-6B66-42BC-86B2-2F58FB1192D5 ;
    p:P6104 wds:Q2503280-78EB2748-C499-4D07-83B0-0BB5161B2D6D ;
    p:P6366 wds:Q2503280-F867739F-C2F9-4764-B1E9-65E91D3809CF ;
    p:P646 wds:Q2503280-D6B4823B-260C-45FD-8085-7EEC9C9EC086 ;
    p:P7235 wds:Q2503280-06200350-4ee4-6152-dd6a-8a98d3bf351b,
        wds:Q2503280-2382255f-4545-6e51-f20d-011294dd9f01,
        wds:Q2503280-47c34463-4c92-7db2-1be4-4dc77566be82,
        wds:Q2503280-893cb3cf-4ec8-8115-1504-43ccb426568a ;
    p:P829 wds:Q2503280-4e0f50ba-43df-d0e6-a1d2-ef99f2a5eef1 ;
    wdtn:P6366 <https://makg.org/entity/3634175> ;
    wdt:P10283 "C3634175" ;
    wdt:P138 wd:Q274377 ;
    wdt:P1889 wd:Q1759646 ;
    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 wd:Q16317911 ;
    wdt:P2812 "LucasNumber" ;
    wdt:P31 wd:Q1759646,
        wd:Q24034552 ;
    wdt:P3417 "Lucas-Number" ;
    wdt:P6104 wd:Q8487137 ;
    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" .

