Some binomial sums involving absolute values
Journal of integer sequences, Tome 19 (2016) no. 3.

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Summary: 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
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     author = {Brent, Richard P. and Ohtsuka, Hideyuki and Osborn, Judy-Anne H. and Prodinger, Helmut},
     title = {Some binomial sums involving absolute values},
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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/