A generalization of Pascal’s triangle using powers of base numbers
Annales Mathématiques Blaise Pascal, Tome 13 (2006) no. 1, pp. 1-15.

In this paper we generalize the Pascal triangle and examine the connections among the generalized triangles and powering integers respectively polynomials. We emphasize the relationship between the new triangles and the Pascal pyramids, moreover we present connections with the binomial and multinomial theorems.

@article{AMBP_2006__13_1_1_0,
author = {Kall\'os, G\'abor},
title = {A generalization of Pascal's triangle using powers of base numbers},
journal = {Annales Math\'ematiques Blaise Pascal},
pages = {1--15},
publisher = {Annales math\'ematiques Blaise Pascal},
volume = {13},
number = {1},
year = {2006},
doi = {10.5802/ambp.211},
mrnumber = {2233009},
zbl = {1172.11302},
language = {en},
url = {www.numdam.org/item/AMBP_2006__13_1_1_0/}
}
Kallós, Gábor. A generalization of Pascal’s triangle using powers of base numbers. Annales Mathématiques Blaise Pascal, Tome 13 (2006) no. 1, pp. 1-15. doi : 10.5802/ambp.211. http://www.numdam.org/item/AMBP_2006__13_1_1_0/

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