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Question: search for recurrence to find Bernoulli numbers

Question:search for recurrence to find Bernoulli numbers

JAMET 420 Maple 2021
rsolve recurrence
June 25 2024
1

eqn := B(n) = -sum(binomial(n + 1, k)*B(k), k = 0 .. n - 1)/(n + 1);
init := B(0) = 1, B(1) = -1/2;
sol := rsolve({eqn, init}, B(n));
Why doesn’t this give me any solution ? Thank you.
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