If we look at MathWorld at the page for the Bernoulli numbers, we find one analytic formula for the even Bernoulli numbers (eqn. 41 or 42). I’ve been using this analytic expression in formula 1 of Section 6.4 of Edwards’ book on the Riemann zeta function. I can do this with PARI/gp. One term that… Continue reading Experimenting with Euler-McLaurin summation for zeta function