| Title |
On a sequence of rational numbers with unusual divisibility by a power of 2 |
| Authors |
Dubickas, Artūras |
| DOI |
10.18514/MMN.2024.4276 |
| Full Text |
|
| Is Part of |
Miskolc mathematical notes.. Miskolc : University of Miskolc. 2024, vol. 25, no. 1, p. 203-208.. ISSN 1787-2405. eISSN 1787-2413 |
| Keywords [eng] |
combinatorial identities ; power of 2 ; special sequence |
| Abstract [eng] |
In this note we consider the sequence of rational numbers (Formula presented). We show that the power of 2 in the expansion of bn is unusually large, at least n+1−log2(n+1), and that this bound is best possible. The sequence bn, n = 1, 2, 3, …, is related to the sequence A0031449 in the On-Line Encyclopedia of Integer Sequences. |
| Published |
Miskolc : University of Miskolc |
| Type |
Journal article |
| Language |
English |
| Publication date |
2024 |
| CC license |
|
