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On multi F-nomial coefficients and Inversion formula for F-nomial coefficients
M. Dziemianczuk
In response to [6], we discover the looked for inversion formula for F-nomial coefficients. Before supplying its proof, we generalize F-nomial coefficients to multi F-nomial coeffi…
On cobweb posets most relevant codings
A. K. Kwasniewski, M. Dziemianczuk
One considers here orderable acyclic digraphs named KoDAGs which represent the outmost general chains of dibicliques denoting thus the outmost general chains of binary relations. B…
On GCD-morphic sequences
M. Dziemiańczuk, W. Bajguz
This note is a response to one of the problems posed by Kwaśniewski in [1,2], see also [3] i.e. GCD-morphic Problem III. We show that any GCD-morphic sequence is at the point p…
On Cobweb Posets and Discrete F-Boxes Tilings
M. Dziemianczuk
F-boxes defined in [6] as hyper-boxes in N^{\infty} discrete space were applied here for the geometric description of the cobweb posetes Hasse diagrams tilings. The F-boxes edges s…
On Cobweb Admissible Sequences - The Production Theorem
M. Dziemiańczuk
In this note further clue decisive observations on cobweb admissible sequences are shared with the audience. In particular an announced proof of the Theorem 1 (by Dziemiańczuk) fro…
Cobweb posets - Recent Results
A. Krzysztof Kwasniewski, M. Dziemianczuk
Cobweb posets uniquely represented by directed acyclic graphs are such a generalization of the Fibonacci tree that allows joint combinatorial interpretation for all of them under a…