Note on generating function of higher dimensional bell numbers
نویسندگان
چکیده
منابع مشابه
Motzkin Numbers of Higher Rank: Generating Function and Explicit Expression
The classical Motzkin numbers (A001006 in [1]) count the numbers of Motzkin paths (and are also related to many other combinatorial objects, see Stanley [2]). Let us recall the definition of Motzkin paths. We consider in the Cartesian plane Z × Z those lattice paths starting from (0, 0) that use the steps {U,L,D}, where U = (1, 1) is an up-step, L = (1, 0) a level-step and D = (1,−1) a down-ste...
متن کاملA Note on the Generating Function for the Stirling Numbers of the First Kind
In this short note, we present a simple constructive proof for the generating function for the unsigned Stirling numbers of the first kind using the equidistribution of pilots and cycles of permutations.
متن کاملA note on higher dimensional p - variation ∗
Abstract We discuss p-variation regularity of real-valued functions defined on [0, T], based on rectangular increments. When p > 1, there are two slightly different notions of p-variation; both of which are useful in the context of Gaussian roug paths. Unfortunately, these concepts were blurred in previous works [2, 3]; the purpose of this note is to show that the afore-mentioned notions of p-v...
متن کاملA note on higher-dimensional magic matrices
We provide exact and asymptotic formulae for the number of unrestricted, respectively indecomposable, d-dimensional matrices where the sum of all matrix entries with one coordinate fixed equals 2.
متن کاملOn a Curious Property of Bell Numbers
In this paper we derive congruences expressing Bell numbers and derangement numbers in terms of each other modulo any prime.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Malaya Journal of Matematik
سال: 2020
ISSN: 2319-3786,2321-5666
DOI: 10.26637/mjm0802/0009