Geodesic
A generating function for the diagonal \(T_{2n,n}\) in triangles
Journal of integer sequences, Tome 18 (2015) no. 4
We present techniques for obtaining a generating function for the diagonal $T_{2n,n}$ of the triangle formed from the coefficients of a generating function $G(x)$ raised to the power $k$. We obtain some relations between central coefficients and coefficients of the diagonal $T_{2n,n}$, and we also give some examples.
Classification : 05A15, 11B75, 05A10
Keywords: generating function, triangle, diagonal, central coefficient, composita 
@article{JIS_2015__18_4_a3,
     author = {Kruchinin,  Dmitry V. and Kruchinin,  Vladimir V.},
     title = {A generating function for the diagonal {\(T_{2n,n}\)} in triangles},
     journal = {Journal of integer sequences},
     year = {2015},
     volume = {18},
     number = {4},
     zbl = {1327.05018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2015__18_4_a3/}
}
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Kruchinin,  Dmitry V.; Kruchinin,  Vladimir V. A generating function for the diagonal \(T_{2n,n}\) in triangles. Journal of integer sequences, Tome 18 (2015) no. 4. http://geodesic.mathdoc.fr/item/JIS_2015__18_4_a3/