Geodesic
Some binomial sums involving absolute values
Journal of integer sequences, Tome 19 (2016) no. 3
We consider several families of binomial sum identities whose definition involves the absolute value function. In particular, we consider centered double sums of the form
Classification : 05A10, 11B65, 05A15, 05A19, 44A60, 60G50
Keywords: absolute binomial sum, binomial sum, centered binomial sum, dumont-foata polynomial, tuenter polynomial, Vandermonde kernel 
@article{JIS_2016__19_3_a3,
     author = {Brent,  Richard P. and Ohtsuka,  Hideyuki and Osborn,  Judy-Anne H. and Prodinger,  Helmut},
     title = {Some binomial sums involving absolute values},
     journal = {Journal of integer sequences},
     year = {2016},
     volume = {19},
     number = {3},
     zbl = {1336.05006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2016__19_3_a3/}
}
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Brent,  Richard P.; Ohtsuka,  Hideyuki; Osborn,  Judy-Anne H.; Prodinger,  Helmut. Some binomial sums involving absolute values. Journal of integer sequences, Tome 19 (2016) no. 3. http://geodesic.mathdoc.fr/item/JIS_2016__19_3_a3/