Geodesic
On the binomial interpolated triangles
Journal of integer sequences, Tome 20 (2017) no. 7
The binomial interpolated transform of a sequence is a generalization of the well-known binomial transform. We examine a Pascal-like triangle, on which a binomial interpolated transform works between the left and right diagonals, focusing on binary recurrences. We give the sums of the elements in rows and in rising diagonals, and we define two special classes of these arithmetical triangles.
Classification : 11B37, 11B39, 11B65, 11B75
Keywords: binomial operator, binomial transform, binomial interpolated transform, recurrence sequence 
@article{JIS_2017__20_7_a3,
     author = {N\'emeth,  L\'aszl\'o},
     title = {On the binomial interpolated triangles},
     journal = {Journal of integer sequences},
     year = {2017},
     volume = {20},
     number = {7},
     zbl = {1368.11013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2017__20_7_a3/}
}
TY  - JOUR
AU  - Németh,  László
TI  - On the binomial interpolated triangles
JO  - Journal of integer sequences
PY  - 2017
VL  - 20
IS  - 7
UR  - http://geodesic.mathdoc.fr/item/JIS_2017__20_7_a3/
LA  - en
ID  - JIS_2017__20_7_a3
ER  - 
%0 Journal Article
%A Németh,  László
%T On the binomial interpolated triangles
%J Journal of integer sequences
%D 2017
%V 20
%N 7
%U http://geodesic.mathdoc.fr/item/JIS_2017__20_7_a3/
%G en
%F JIS_2017__20_7_a3
Németh,  László. On the binomial interpolated triangles. Journal of integer sequences, Tome 20 (2017) no. 7. http://geodesic.mathdoc.fr/item/JIS_2017__20_7_a3/