References
- Birregah B, Doh PK, Adjallah KH. A systematic approach to matrix forms of the Pascal triangle: the twelve triangular matrix forms and relations. Eur J Combin. 2010;31(5):1205–1216.
- Brawer R, Pirovino M. The linear algebra of the Pascal matrix. Linear Algebra Appl. 1992;174:13–23.
- Call GS, Velleman DJ. Pascal’s matrices. Amer Math Monthly. 1993;100(4):372–376.
- Edelman A, Strang G. Pascal matrices. Amer Math Monthly. 2004;111(3):361–385.
- Yang Y, Micek C. Generalized Pascal functional matrix and its applications. Linear Algebra Appl. 2007;423(2–3):230–245.
- Zhang Z. The linear algebra of the generalized Pascal matrix. Linear Algebra Appl. 1997;250:51–60.
- Cheon G-S, Kim H, Shapiro LW. A generalization of Lucas polynomial sequence. Discrete Appl Math. 2009;157(5):920–927.
- Banderier C, Schwer S. Why Delannoy numbers? J Stat Plann Inference. 2005;135(1):40–54.
- Comtet L. Advanced combinatorics. Dordrecht: D. Reidel; 1970.
- Ericksen L. Lattice path combinatorics for multiple product identities. J Stat Plann Inference. 2010;140(8):2213–2226.
- Sulanke RA. Objects counted by the central Delannoy numbers. J Integer Seq. 2003. 6 Article 03.1.5.
- Fray RD, Roselle DP. Weighted lattice paths. Pac J Math. 1971;37(1):85–96.
- Yang S-L, Zheng S-N, Yuan S-P, et al. Schröder matrix as inverse of Delannoy matrix. Linear Algebra Appl. 2013;439(11):3605–3614.
- Ramírez JL, Sirvent VF. A generalization of the k-bonacci sequence from Riordan arrays. Electron J Combin. 2015;22(1):P1.38.
- Deutsch E. A bijective proof of the equation linking the Schröder numbers, large and small. Discrete Math. 2001;241:235–240.
- Shapiro LW, Sulanke RA. Bijections for the Schröder numbers. Math Mag. 2000;73(5):369–376.
- Stanley RP. Enumerative combinatorics. Vol. 2. Cambridge: Cambridge University Press; 1999.
- Merlini D, Rogers DG, Sprugnoli R, et al. Underdiagonal lattice paths with unrestricted steps. Discrete Appl Math. 1999;91(1–3):197–213.
- Sprugnoli R. Riordan arrays and combinatorial sums. Discrete Math. 1994;132(1–3):267–290.
- Shapiro LW, Getu S, Woan W-J, et al. The Riordan group. Discrete Appl Math. 1991;34(1–3):229–239.
- Rogers DG. Pascal triangles, Catalan numbers and renewal arrays. Discrete Math. 1978;22(3):301–310.
- Merlini D, Rogers DG, Sprugnoli R, et al. On some alternative characterizations of Riordan arrays. Can J Math. 1997;49(2):301–320.
- He T-X, Sprugnoli R. Sequence characterization of Riordan arrays. Discrete Math. 2009;309(12):3962–3974.
- Sloane NJA. The on-line encyclopedia of integer sequences. 2017. Available from: https://oeis.org/