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The Gilbreath principle, variants and card tricks. (Le principe de Gilbreath, variantes et magie des cartes.) (French)
Quadrature 96, 29-42 (2015).
Summary: This paper presents a generalization of the Gilbreath principle which recovers the generalizations already proposed in the literature. We provide a detailed analysis of the necessary and sufficient conditions for the Gilbreath principle to be applied. Besides we study particular classes for which new interesting properties are described. We also consider the interlacing of periodic sequences, and thus recognize a particular case of the Gilbreath principle. Finally, new card tricks are described which result from the new highlighted properties.
Classification: A20 K20
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