  We connect and generalize Matiyasevich's identity #0102 with Bernoulli
numbers and an identity of Candelpergher, Coppo and Delabaere on Ramanujan
summation of the divergent series of the infinite sum of the harmonic numbers.
The formulae are analytic continuation of Euler sums and lead to new recursion
relations for derivatives of Bernoulli numbers. The techniques used are contour
integration, generating functions and divergent series.
