Problem 52729. Easy Sequences 21: Combinatorial Summations
Create the function S(n), defined by the following summation:
The symbol
is the combination function ('nchoosek(a,b)' in MATLAB). 'S(n)' always yields an integer value, if 'n' is a positive integer. Present the output modulo 1234567.
NOTE: S(n) may have positive or negative values. Therefore, please use the 'mod' function instead of the 'rem' function to ensure the result would be a positive modulus.
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William
on 19 Sep 2021
Almost got it, but not quite!
Ramon Villamangca
on 19 Sep 2021
Hi William, you are right. The sign should only be negative when n = 2. Thanks.
Rafael S.T. Vieira
on 24 Nov 2022
Tip: This problem is not solved using combinations or factorials.
Rafael S.T. Vieira
on 24 Nov 2022
S(20) = 177547, you're welcome.
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