Necessary condition for the existence of an incongruent covering system with odd moduli II
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New games related to old and new sequences.
Fraenkel, Aviezri S. (2004)
Integers
New Ramanujan-type formulas and quasi-Fibonacci numbers of order 7.
Wituła, Roman, Słota, Damian (2007)
Journal of Integer Sequences [electronic only]
Newton, Fermat, and exactly realizable sequences.
Du, Bau-Sen, Huang, Sen-Shan, Li, Ming-Chia (2005)
Journal of Integer Sequences [electronic only]
Non-canonical extensions of Erdős-Ginzburg-Ziv theorem.
Thangadurai, R. (2002)
Integers
Non-converging continued fractions related to the Stern diatomic sequence
Boris Adamczewski (2010)
Acta Arithmetica
Non-regularity of .
Rowland, Eric S. (2010)
Integers
Note on a conjecture of P. D. T. A. Elliott
Catalin Badea (1987)
Archivum Mathematicum
Note on sequences well-spaced and well-distributed among congruence classes
S. Choi (1974)
Acta Arithmetica
Notes on a family of Riordan arrays and associated integer Hankel transforms.
Barry, Paul, Hennessy, Aoife (2009)
Journal of Integer Sequences [electronic only]
Number Sequences in an Integral Form with a Generalized Convolution Property and Somos-4 Hankel Determinants
Rajkovic, Predrag M., Barry, Paul, Savic, Natasa (2012)
Mathematica Balkanica New Series
MSC 2010: 11B83, 05A19, 33C45This 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.
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