H. Douglas Keith

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Douglas H. Johnson: a tribute.

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Glomerulonephritis Keith

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Counting Keith numbers

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 asympto...

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ژورنال

عنوان ژورنال: Physics Today

سال: 2004

ISSN: 0031-9228,1945-0699

DOI: 10.1063/1.1752439