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Deflating skolem

✍ Scribed by F. A. Muller

Publisher: Springer Netherlands
Year: 2005
Tongue: English
Weight: 202 KB
Volume: 143
Category: Article
ISSN: 0039-7857
DOI: 10.1007/s11229-005-0800-0

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A k-extended Skolem sequence of order n is an integer sequence (s,, s2,. . . , S Z ~+ ~) in which sk = 0 and for eachj E (1,. . . ,n}, there exists a unique i E (1,. . . ,2n} such that si = s i + j = j . We show that such a sequence exists if and only if either 1) k is odd and n = 0 or 1 (mod 4) or