Geodesic
On the divisibility of generalized central trinomial coefficients
Journal of integer sequences, Tome 9 (2006) no. 2
We present several methods of computing sequences of generalized central trinomial coefficients. We generalize the Schur and Holt congruences for Legendre polynomials in order to prove divisibility properties of these sequences and a conjecture of Deutsch and Sagan.
Keywords: central trinomial coefficient, Legendre polynomials, divisibility, congruences 
@article{JIS_2006__9_2_a4,
     author = {Noe,  Tony D.},
     title = {On the divisibility of generalized central trinomial coefficients},
     journal = {Journal of integer sequences},
     year = {2006},
     volume = {9},
     number = {2},
     zbl = {1102.05009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2006__9_2_a4/}
}
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Noe,  Tony D. On the divisibility of generalized central trinomial coefficients. Journal of integer sequences, Tome 9 (2006) no. 2. http://geodesic.mathdoc.fr/item/JIS_2006__9_2_a4/