Voir la notice de l'article provenant de la source Library of Science
@article{AUM_2018_72_1_a3, author = {Ochalik, Pawe{\l} and W{\l}och, Andrzej}, title = {On generalized {Mersenne} numbers, their interpretations and matrix generators}, journal = {Annales Universitatis Mariae Curie-Sk{\l}odowska. Mathematica }, publisher = {mathdoc}, volume = {72}, number = {1}, year = {2018}, language = {en}, url = {http://geodesic.mathdoc.fr/item/AUM_2018_72_1_a3/} }
TY - JOUR AU - Ochalik, Paweł AU - Włoch, Andrzej TI - On generalized Mersenne numbers, their interpretations and matrix generators JO - Annales Universitatis Mariae Curie-Skłodowska. Mathematica PY - 2018 VL - 72 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/AUM_2018_72_1_a3/ LA - en ID - AUM_2018_72_1_a3 ER -
%0 Journal Article %A Ochalik, Paweł %A Włoch, Andrzej %T On generalized Mersenne numbers, their interpretations and matrix generators %J Annales Universitatis Mariae Curie-Skłodowska. Mathematica %D 2018 %V 72 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/AUM_2018_72_1_a3/ %G en %F AUM_2018_72_1_a3
Ochalik, Paweł; Włoch, Andrzej. On generalized Mersenne numbers, their interpretations and matrix generators. Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 72 (2018) no. 1. http://geodesic.mathdoc.fr/item/AUM_2018_72_1_a3/
[1] Berge, C., Principles of Combinatorics, Academic Press, New York-London, 1971.
[2] Civciv, H., Turkman, R., On the (s,t)-Fibonacci and Fibonacci Matrix Sequences, Ars Combin. 87 (2008), 161-173.
[3] Ercolano, J., Matrix generator of Pell sequences, Fibonacci Quart. 17 (1) (1979), 71-77.
[4] Kaygisiz, K., Sahin, A., Determinant and permanent of the Hessenberg matrix and Fibonacci type numbers, Gen. Math. Notes 9 (2) (2012), 32-41.
[5] Kilic, E., On the usual Fibonacci and generalized order k-Pell sequences by Hessenberg matrices, Ars Combin. 94 (2010), 161-174.
[6] Kilic, E., Stanica, P., A matrix approach for general higher order linear recurrence, Bull. Malays. Math. Sci. Soc. (2) 34 (1) (2011), 51-67.
[7] Kilic, E., Tasci, D., On the generalized Fibonacci and Pell sequences by Hessenberg matrices, Ars Combin. 94 (2010) 161-174.
[8] Sergeer, A. S., Generalized Mersenne matrices and Balonin’s conjecture, Automatic Control and Computer Sciences 48 (4) (2014), 214-220.
[9] Solinas, J., Generalized Mersenne Numbers, Technical report CORR-39, Dept. of C. O., University of Waterloo, 1999.
[10] Available from http://www.carc.math.uwaterloo.ca
[11] Włoch, A., Wołowiec-Musiał, M., Generalized Pell numbers and some relations with Fibonacci numbers, Ars Combin. 109 (2013), 391-403.
[12] Zheng, Y., Shon, S., Exact inverse matrices of Fermat and Mersenne circulant matrix, Abstr. Appl. Anal. 2015 (2015), Article 760823, 10 pp.