Geodesic
On the binomial interpolated triangles
Journal of integer sequences, Tome 20 (2017) no. 7.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {20},
     number = {7},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2017__20_7_a3/}
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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/