ABSTRACT

A set of numbers, B 1, B 3, …, B 2n−1 (Bernoulli numbers) and B 2, B 4, …, B 2n (Euler numbers) appear in the series expansions of many functions. A partial listing follows; these are computed from the following equations: B 2 n − 2 n ( 2 n − 1 ) 2 ! B 2 n − 2 + 2 n ( 2 n − 1 ) ( 2 n − 2 ) ( 2 n − 3 ) 4 ! B 2 n − 4 − … + ( − 1 ) n = 0 , https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203743102/9cca8f32-4688-4a1e-80c2-a6c9068f5153/content/eq178.tif"/>