Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: Pell number

Sortuj według:

Ogranicz wyniki do:

Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik

On generalized Pell numbers and their graph representations

100%

Włoch I.

Commentationes Mathematicae

2008

tom 48

nr 2

In this paper we give a generalization of the Pell numbers and the Pell-Lucas numbers and next we apply this concept for their graph representations. We shall show that the generalized Pell numbers and the Pell-Lucas numbers are equal to the total number of k-independent sets in special graphs.

Restricted partitions and q-Pell numbers

88%

Mansour T., Shattuck M.

Open Mathematics

2011

tom 9

nr 2

346-355

In this paper, we provide new combinatorial interpretations for the Pell numbers p n in terms of finite set partitions. In particular, we identify six classes of partitions of size n, each avoiding a set of three classical patterns of length four, all of which have cardinality given by p n. By restricting the statistic recording the number of inversions to one of these classes, and taking it jointly with the statistic recording the number of blocks, we obtain a new polynomial generalization of p n. Similar considerations using the comajor index statistic yields a further generalization of the q-Pell number studied by Santos and Sills.

Ograniczanie wyników

1 Commentationes Mathematicae

1 Open Mathematics

1 Mansour T.

1 Shattuck M.

1 Włoch I.

1 2011

1 2008

Wyniki wyszukiwania

On generalized Pell numbers and their graph representations

Restricted partitions and q-Pell numbers