%0 Journal Article %T A shortened recurrence relation for the Bernoulli numbers %A F. M. S. Lima %J Mathematics %D 2011 %I arXiv %X In this note, starting with a little-known result of Kuo, I derive a recurrence relation for the Bernoulli numbers $B_{2 n}$, $n$ being any positive integer. This new recurrence seems advantageous in comparison to other known formulae since it allows the computation of both $B_{4 n}$ and $B_{4 n +2}$ from only $B_0, B_2,..., B_{2n}$. %U http://arxiv.org/abs/1109.4694v1