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- W2962818698 abstract "A Keith number is a positive integer N with the decimal representation a1a2 ¢ ¢ ¢ an such that n ≥ 2 and N appears in the sequence (Km)m≥1 given by the recurrence K1 = a1, . . . , Kn = an and Km = Km−1 + Km−2 + ¢ ¢ ¢ + Km−n for m > n. We prove that there are only finitely many Keith numbers using only one decimal digit (i.e., a1 = a2 = ¢ ¢ ¢ = an), and that the set of Keith numbers is of asymptotic density zero." @default.
- W2962818698 created "2019-07-30" @default.
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- W2962818698 date "2007-01-01" @default.
- W2962818698 modified "2023-09-23" @default.
- W2962818698 title "Counting Keith Numbers" @default.
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