@article{tjant2018623,
author={Lima, F. M. S.},
title={A Shortened Recurrence Relation for Bernoulli Numbers},
journal={Turkish Journal of Analysis and Number Theory},
volume={6},
number={2},
pages={49--51},
year={2018},
url={http://pubs.sciepub.com/tjant/6/2/3},
issn={2333-1232},
abstract={In this note, starting with a little-known result of Kuo, I derive a recurrence relation for the Bernoulli numbers <i>B</i><SUB>2</SUB><SUB><i>n </i></SUB>, <i>n</i> being a positive integer. This formula is shown to be advantageous in comparison to other known formulae for the <i>exact</i> symbolic computation of <i>B</i><SUB>2</SUB><SUB><i>n</i></SUB>. Interestingly, it is suitable for large values of <i>n</i> since it allows the computation of both <i>B</i><SUB>4</SUB><SUB><i>n</i></SUB> and <i>B</i><SUB>4</SUB><SUB><i>n</i></SUB><SUB>+2</SUB> from only <i>B</i><SUB>0</SUB>, <i>B</i><SUB>2</SUB>, ..., <i>B</i><SUB>2</SUB><SUB><i>n</i></SUB>.},
doi={10.12691/tjant-6-2-3}
publisher={Science and Education Publishing}
}