is there an analytical formula for the PARTIAL sum for the binomial coefficient (n choose k) with respect to n?
e.g what is the sum(n choose k)) from n=0 to some integer N?
I refer you to the elegant book
A Treatise on the Binomial Theorem
College PublicationsCraig Smorynski Year:2012
Thanks!
See: https://math.stackexchange.com/questions/1610438/upper-bound-for-partial-sum-of-binomial-coefficients
see also
https://mathoverflow.net/questions/201530/partial-sum-of-the-binomial-theorem
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