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Classroom Capsule

Computing Sums of Powers of Integers with the Hockey-Stick Identity and the Stirling Numbers

Pages 247-249 | Received 01 Jun 2023, Accepted 26 Sep 2023, Published online: 23 Oct 2023

References

  • Abramowitz, M., Stegun, I. A., eds. (1964). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, National Bureau of Standards. Applied Mathematics Series, No. 55. Washington D.C.: U. S. Government Printing Office.
  • Cereceda, J. L. (2022). Sums of powers of integers and Stirling numbers. Resonance 27(5): 769–784. DOI: 10.1007/s12045-022-1371-9.
  • Tong, J. (1998). Sums of integer powers. J. Elisha Mitchell Sci. Soc. 114(1): 41–42. Available at https://dc.lib.unc.edu/cdm/ref/collection/jncas/id/3514.
  • Treviño, E. (2018). A short proof of a sum of powers formula. Amer. Math. Monthly 125(7): 659. DOI: 10.1080/00029890.2018.1460977.

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