Just now I derived a formula for computing the Bernoulli polynomials Bn(t), see the picture attached with this question. But I am not sure whether it is a new one. Have you ever seen a formula same as or similar to this one? Thanks.
Artur Sergyeyev
There is a number of known explicit formulas for Bernoulli polynomials, see e.g. the links below but I am not quite sure how they compare to yours.
https://en.wikipedia.org/wiki/Bernoulli_polynomials#Another_explicit_formula
https://en.wikipedia.org/wiki/Bernoulli_polynomials#Explicit_formula
http://www.sciencedirect.com/science/article/pii/0022247X88903265
http://link.springer.com/article/10.1007/BF02950761
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Muhammad Aslam Noor
It seems to be a new one. Never seen such type formula before.
All the best
Aslam Noor
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