Directory UMM :Journals:Journal_of_mathematics:OTHER:
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Here we use well-known counts for forests of rooted trees to give a combinatorial derivation of Tak´acs’s result: we present (1) as the total weight of certain weighted
Horadam, Generating functions for powers of a certain generalised sequence of numbers, Duke Math.. Pita, More on Fibonomials, Proceedings of the XIV Conference on
The Stern sequence has recently arisen as well in the discussion of 2-regular sequences by Allouche and Shallit [ 1 ] and the Tower of Hanoi graph [ 10 ] by Hinz,
Horadam, Generating functions for powers of a certain generalised sequence of numbers, Duke Math. Mansour, A formula for generating function of powers of Horadam’s sequence,
In this short note, we prove that the sequence A061646 from Neil Sloane’s Online Encyclo- pedia of Integer Sequences is connected with the number of domino tilings of a holey square..
We study the Euler-Seidel matrix of certain integer sequences, using the binomial transform and Hankel matrices.. For moment sequences, we give an integral repre- sentation of
The distribution of mimic numbers following a certain sequence of divisibility consid- ered from the series of natural numbers is an interesting study.. The mimic number of the
We use integer programming to nd maximum density stable patterns in variants of Conway’s game of Life, and we describe how to use the constraints of an integer programming
