𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Binomial Coefficients and Lucas Sequences

✍ Scribed by Achim Flammenkamp; Florian Luca


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
226 KB
Volume
93
Category
Article
ISSN
0022-314X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Gauss Sums and Binomial Coefficients
✍ Dong Hoon Lee; Sang Geun Hahn πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 148 KB
Lotteries and truncated binomial coeffic
✍ ZoltΓ‘n SasvΓ‘ri; Michael KΓΌcken πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 107 KB

## Abstract We consider the expression and investigate for which __k__ and __n__ is __P__(__k__, __n__) an integer. We find integer solutions __k__ and __m__ of the equation __P__(__k__, __n__) = __m__ for a given integer __m__ and approximate real solutions __x__ = __x__(__k__) of the equation __

Combinatorial Identities and Inverse Bin
✍ Toufik Mansour πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 80 KB

In this paper, we present a method for obtaining a wide class of combinatorial identities. We give several examples; some of them have already been considered previously, and others are new.  2002 Elsevier Science (USA)

Transcendence of Binomial and Lucas' For
✍ J.-P Allouche; D Gouyou-Beauchamps; G Skordev πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 120 KB

is transcendental over ‫ޑ‬ X when t is an integer G 2. This is due to Stanley for t even, and independently to Flajolet and to Woodcock and Sharif for the general case. While Stanley and Flajolet used analytic methods and studied the asymptotics of the coefficients of this series, Woodcock and Shari

Computation of Clebsch-Gordan and Gaunt
✍ I.I. Guseinov; A. Γ–zmen; Ü. Atav; H. YΓΌksel πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 203 KB

Using binomial coefficients the Clebsch-Gordan and Gaunt coefficients were calculated for extremely large quantum numbers. The main advantage of this approach is directly calculating these coefficients, instead of using recursion relations. Accuracy of the results is quite high for quantum numbers \

Binomial Coefficients and Zero-Sum Ramse
✍ Yair Caro πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 307 KB

A counting argument is developed and divisibility properties of the binomial coefficients are combined to prove, among other results, that where K n , resp. K k n , is the complete, resp. complete k-uniform, hypergaph and R(K n , Z p ), R(K k n , Z 2 ) are the corresponding zero-sum Ramsey numbers.