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Problem: Sums of Falling Factorial Powers

Evaluate $S=1\cdot 2\cdot 3+2\cdot 3\cdot 4+\ldots+14\cdot 15\cdot 16$ applying the fundamental theorem of the difference calculus.

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Solutions: 1

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References

Bibliography

  1. Miller, Kenneth S.: "An Introduction to the Calculus of Finite Differences And Difference Equations", Dover Publications, Inc, 1960