Boole’s formula as a consequence of Lagrange’s Interpolating Polynomial Theorem
- Cosmin Pohoata, Boole’s formula as a consequence of Lagrange’s interpolating polynomial theorem, INTEGERS: The Electronic Journal of Combinatorial Number Theory, 8 (2008), #A23. (Link to the PDF file).
Another variant of the paper can be downloaded from http://arxiv.org/abs/0807.1133.)
We present a slightly more general version of Boole’s additive formula for factorials as a simple consequence of Lagrange’s Interpolating Polynomial theorem.