Divisibility. q -binomial coefficient. 1. Introduction. The Salié numbers S 2 n [1, p. 242] are defined by ∑ n = 0 ∞ S 2 n x 2 n ( 2 n ) !
Abstract.Salié permutations are defined to be first alternating, and then monotone. We q-enumerate them by considering words (instead of permutations), equipped ...
The q-Salie number S2n(q) is shown to be divisible by (1 + q2r+1)b n 2r+1c for any r 0. Furthermore, similar congruences for the generalized q-Euler numbers ...
We confirm two conjectures of Guo and Zeng on q-Salie numbers.
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Carlitz [3] first proved that the Salié numbers S2n are divisible by 2n. Motivated by the work of Andrews-Gessel [2], Andrews-Foata [1], Désarménien [4],.
The q-Salie number S2n(q) is shown to be divisible by (1 + q2r+1)b n 2r+1c ... On the divisibility of -Salié numbers. Article. Jun 2010; COMPUT MATH APPL.
The q -Salié number S 2 n ( q ) is shown to be divisible by ( 1 + q 2 r + 1 ) ⌊ n 2 r + 1 ⌋ for any r ≥ 0 .
Carlitz [3] first proved that the Salié numbers S2n are divisible by 2n. Motivated by the work of Andrews-Gessel [2], Andrews-Foata [1], Désarménien [4],.
The q-tangent number T2+l I(q) is shown to be divisible by (1 + qXl + q2) ... (1 + qn). Related divisibility questions are discussed.
4 days ago · The double of the last digit, when subtracted by the rest of the number, the difference obtained should be divisible by 7. Divisibility by 8.