Rank of apparition

English

Noun

1. Template:Lb Given a positive integer m and a divisibility sequence S_k, the smallest index k such that S_k is divisible by m;
   such an index for some generalisation of the concept (for example to allow multiple ranks of apparition for a given m).

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   • 1996, D. L. Wells, Residue Counts Modulo Three for the Fibonacci Triangle, G. E. Bergum, Andreas N. Philippou, Alwyn F. Horadam (editors), Applications of Fibonacci Numbers, Kluwer Academic, Softcover reprint, page 535,

     A similar identification between Pascal's Triangle modulo p and the Fibonacci Triangle modulo p can be made for primes p which have the length of the period equal to twice their rank of apparition in the Fibonacci Sequence.

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Usage notes

• Typically, the integer whose rank of apparition is wanted (here called m) is specified to be a prime number (and called p). This reflects the fact that the principal issue at hand is divisibility.

Translations

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Further reading

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