Abstract.In this article, we present two infinite dimensional matrices whose entries are recursively defined, and show that the sequence of their principal minors form the Lucas sequence, that is

Abstract.We give a combinatorial proof of Guo's multi-generalization of Munarini's identity, answering a question of Guo.

Abstract.Here, we show thatwhere

Abstract.We searched the Cunningham tables for new algebraic factorizations similar to those discovered by Aurifeuille. A naive search would have been too slow. We accelerated it enough to make it feasible. Many interesting results were found.

Abstract.The P-positions of the 2-pile take-away game of Wythoff Nim lie on two

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Abstract The so-calledOur generalization includes these and now also the

Abstract Letwhere forFurthermore, letand let

Abstract Let