
Cette note présente une identité numérique observée dans la suite de Fibonacci.Pour tout entier impair d≥7, la relation exacte suivante est vérifiée : F(3d)+3F(d)=5F(d)^3 Cette identité met en évidence une structure cubique reliant les valeurs de Fibonacci aux indices d et 3d.Le résultat provient d’explorations computationnelles de la suite de Fibonacci et révèle un motif algébrique inattendu au sein de cette suite.
Fibonacci, BGAS, Bsila
Fibonacci, BGAS, Bsila
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