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- W1639486576 abstract "A Keith number is a positive integer N with the decimal representation a_1a_2...a_n such that n>=2 and N appears in the sequence (K_m) given by the recurrence K_1=a_1,...,K_n=a_n and K_m=K_{m-1}+K_{m-2}+...+K_{m-n} for m>n. We prove that there are only finitely many Keith numbers using only one decimal digit (i.e., a_1=a_2=...=a_n), and that the set of Keith numbers is of asymptotic density zero." @default.
- W1639486576 created "2016-06-24" @default.
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- W1639486576 date "2006-08-16" @default.
- W1639486576 modified "2023-09-27" @default.
- W1639486576 title "Counting Keith numbers" @default.
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