Generalized Catalan numbers and generalized Hankel transformations.
Chamberland, Marc, French, Christopher (2007)
Journal of Integer Sequences [electronic only]
Similarity:
Chamberland, Marc, French, Christopher (2007)
Journal of Integer Sequences [electronic only]
Similarity:
Peart, Paul, Woan, Wen-Jin (2000)
Journal of Integer Sequences [electronic only]
Similarity:
Astudillo, Ricardo (2003)
Journal of Integer Sequences [electronic only]
Similarity:
Garcia Armas, Mario, Sethuraman, B.A. (2008)
Journal of Integer Sequences [electronic only]
Similarity:
Shandy Brown, Narad Rampersad, Jeffrey Shallit, Troy Vasiga (2006)
RAIRO - Theoretical Informatics and Applications
Similarity:
We consider the position and number of occurrences of squares in the Thue-Morse sequence, and show that the corresponding sequences are -regular. We also prove that changing any finite but nonzero number of bits in the Thue-Morse sequence creates an overlap, and any linear subsequence of the Thue-Morse sequence (except those corresponding to decimation by a power of ) contains an overlap.
Barry, Paul (2007)
Journal of Integer Sequences [electronic only]
Similarity:
Woan, Wen-Jin (2001)
Journal of Integer Sequences [electronic only]
Similarity:
Dougherty, Michael, French, Christopher, Saderholm, Benjamin, Qian, Wenyang (2011)
Journal of Integer Sequences [electronic only]
Similarity:
Rajkovic, Predrag M., Barry, Paul, Savic, Natasa (2012)
Mathematica Balkanica New Series
Similarity:
MSC 2010: 11B83, 05A19, 33C45 This paper is dealing with the Hankel determinants of the special number sequences given in an integral form. We show that these sequences satisfy a generalized convolution property and the Hankel determinants have the generalized Somos-4 property. Here, we recognize well known number sequences such as: the Fibonacci, Catalan, Motzkin and SchrÄoder sequences, like special cases.
Sophie Grivaux, Maria Roginskaya (2013)
Czechoslovak Mathematical Journal
Similarity:
We study recurrence and non-recurrence sets for dynamical systems on compact spaces, in particular for products of rotations on the unit circle . A set of integers is called -Bohr if it is recurrent for all products of rotations on , and Bohr if it is recurrent for all products of rotations on . It is a result due to Katznelson that for each there exist sets of integers which are -Bohr but not -Bohr. We present new examples of -Bohr sets which are not Bohr, thanks to a construction...