A shortened recurrence relation for the Bernoulli numbers
Abstract
In this note, starting with a little-known result of Kuo, I derive a recurrence relation for the Bernoulli numbers B2 n, n being any positive integer. This new recurrence seems advantageous in comparison to other known formulae since it allows the computation of both B4 n and B4 n +2 from only B0, B2,..., B2n.
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