Journal of Integer Sequences, Vol. 16 (2013), Article 13.1.4

Power Sums of Binomial Coefficients

Askar Dzhumadil'daev and Damir Yeliussizov
Kazakh-British Technical University
59 Tole bi St
050000 Almaty


We establish an analog of Faulhaber's theorem for a power sum of binomial coefficients. We study reciprocal power sums of binomial coefficients and Faulhaber coefficients for a power sum of triangular numbers.

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(Concerned with sequences A000217 A008292 A093556 A093557 A093558 A093559.)

Received May 12 2012; revised versions received October 7 2012; January 4 2013. Published in Journal of Integer Sequences, January 5 2013.

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