TYPES OF NUMBERS MATHEMATICS A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z                    HOME ABOUT CATEGORIES SITE MAP COPYRIGHT ADVERTISE CONTACT entire Web this site Bernoulli number A number of the type defined by Jakob Bernouilli in connection with evaluating sums of the form ∑ ik. The sequence B0, B1, B2, ... can be generated using the formula x/(ex - 1) = ∑(Bn xn)/n! though various different notations are used for them. The first few Bernoulli numbers are: B0 = 1, B1 = -1/2, B2 = 1/6 , B4 = -1/30 , B6 = 1/42 , ... They crop up in many diverse areas of mathematics including the series expansions of tan x and Fermat's last theorem. Related categories    • TYPES OF NUMBERS    • MATHEMATICS Also on this site: Encyclopedia of Alternative Energy & Sustainable Living Encyclopedia of History Transport Concepts & Designs (partner site) BACK TO TOP