Integer-detecting sequences
نویسندگان
چکیده
منابع مشابه
Generalized Nonaveraging Integer Sequences
Let the sequence Sm of nonnegative integers be generated by the following conditions. Set the first term a0 = 0, and for all k ≥ 0, let ak+1 be the least integer greater than ak such that no element of {a0, . . . , ak+1} is the average of m − 1 distinct other elements. Szekeres gave a closed-form description of S3 in 1936, and Layman provided a similar description for S4 in 1999. We first find ...
متن کاملMy Favorite Integer Sequences
This paper gives a brief description of the author’s database of integer sequences, now over 35 years old, together with a selection of a few of the most interesting sequences in the table. Many unsolved problems are mentioned. This paper was published (in a somewhat different form) in Sequences and their Applications (Proceedings of SETA ’98), C. Ding, T. Helleseth and H. Niederreiter (editors...
متن کاملInteger Sequences and Periodic Points
Arithmetic properties of integer sequences counting periodic points are studied, and applied to the case of linear recurrence sequences, Bernoulli numerators, and Bernoulli denominators.
متن کاملCROSS t-INTERSECTING INTEGER SEQUENCES
Let m, n and t be positive integers. Consider [m] as the set of sequences of length n on an m-letter alphabet. We say that two subsets A ⊂ [m] and B ⊂ [m] cross t-intersect if any two sequences a ∈ A and b ∈ B match in at least t positions. In this case we show that if m > (1 − 1 t 2 ) −1 then |A||B| ≤ (mn−t)2. One of our main tools is the eigenvalue method for intersection matrices due to Frie...
متن کاملOn certain positive integer sequences
A survey of recent results in elementary number theory is presented in this paper. Special attention is given to structure and asymptotic properties of certain families of positive integers. In particular, a conjecture on complete sequences of Burr, Erdős, Graham and Wen-Ching Li is amended.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 1998
ISSN: 0019-3577
DOI: 10.1016/s0019-3577(98)80026-8