In this paper, we investigate the generalized sixth order Pell sequences and we deal with, in detail, three special cases which we call them as sixth order Pell, sixth order Pell-Lucas and modified sixth order Pell sequences.
[4] Gökbas, H., Köse, H., Some sum formulas for products of Pell and Pell-Lucas numbers, Int. J. Adv. Appl. Math. and Mech. 4(4), 1-4, 2017.
[5] Hanusa, C., A Generalized Binet.s Formula for kth Order Linear Recurrences: A Markov Chain Approach, Harvey Mudd College, Undergraduate Thesis (Math Senior Thesis), 2001.
[7] Kalman, D., Generalized Fibonacci Numbers By Matrix Methods, Fibonacci Quarterly, 20(1), 73-76, 1982.
[8] Kiliç, E., Ta¸sçi, D., The Linear Algebra of The Pell Matrix, Boletín de la Sociedad Matemática Mexicana, 3(11), 2005.
[9] Kiliç, E., Ta¸sçi, D., The Generalized Binet Formula, Representation and Sums of the Generalized Order-k Pell Numbers, Taiwanese Journal of Mathematics, 10(6), 1661-1670, 2006.
[10] Kiliç, E., Stanica, P., A Matrix Approach for General Higher Order Linear Recurrences, Bulletin of the Malaysian Mathe-matical Sciences Society, (2) 34(1), 51.67, 2011.
[11] Koshy, T., Pell and Pell-Lucas Numbers with Applications, Springer, New York, 2014.
[12] Melham, R., Sums Involving Fibonacci and Pell Numbers, Portugaliae Mathematica, 56(3), 309-317, 1999.
[13] N.J.A. Sloane, The on-line encyclopedia of integer sequences, http://oeis.org/
In this paper, we investigate the generalized sixth order Pell sequences and we deal with, in detail, three special cases which we call them as sixth order Pell, sixth order Pell-Lucas and modified sixth order Pell sequences.
[4] Gökbas, H., Köse, H., Some sum formulas for products of Pell and Pell-Lucas numbers, Int. J. Adv. Appl. Math. and Mech. 4(4), 1-4, 2017.
[5] Hanusa, C., A Generalized Binet.s Formula for kth Order Linear Recurrences: A Markov Chain Approach, Harvey Mudd College, Undergraduate Thesis (Math Senior Thesis), 2001.
[7] Kalman, D., Generalized Fibonacci Numbers By Matrix Methods, Fibonacci Quarterly, 20(1), 73-76, 1982.
[8] Kiliç, E., Ta¸sçi, D., The Linear Algebra of The Pell Matrix, Boletín de la Sociedad Matemática Mexicana, 3(11), 2005.
[9] Kiliç, E., Ta¸sçi, D., The Generalized Binet Formula, Representation and Sums of the Generalized Order-k Pell Numbers, Taiwanese Journal of Mathematics, 10(6), 1661-1670, 2006.
[10] Kiliç, E., Stanica, P., A Matrix Approach for General Higher Order Linear Recurrences, Bulletin of the Malaysian Mathe-matical Sciences Society, (2) 34(1), 51.67, 2011.
[11] Koshy, T., Pell and Pell-Lucas Numbers with Applications, Springer, New York, 2014.
[12] Melham, R., Sums Involving Fibonacci and Pell Numbers, Portugaliae Mathematica, 56(3), 309-317, 1999.
[13] N.J.A. Sloane, The on-line encyclopedia of integer sequences, http://oeis.org/