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Abstract

This paper is concerned with the number A(n) of pairwise distinct LANGFORD-sequences of length n. We prove by an explicit construction: A(n)≧2 for all 7<n≡−1,0(mod 4) and obtain also: for every natural number n there exists a natural number f(n) with A(f(n))≧n.

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Literatur

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© 1977 Springer Basel AG

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Köhler, E. (1977). Bemerkungen über Langfordsequenzen. In: Collatz, L., Meinardus, G., Wetterling, W. (eds) Numerische Methoden bei Optimierungsaufgaben Band 3. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 36. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5936-3_8

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  • DOI: https://doi.org/10.1007/978-3-0348-5936-3_8

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-5937-0

  • Online ISBN: 978-3-0348-5936-3

  • eBook Packages: Springer Book Archive

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