Computation of Tangent, Euler, and Bernoulli Numbers*
Computation of Tangent, Euler, and Bernoulli Numbers*
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正切数、欧拉数和伯努利数的计算*
DOI：
10.1090/s0025-5718-1967-0221735-9
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发表时间：
1967
影响因子：
2
通讯作者：
T. J. Buckholtz
中科院分区：
文献类型：
--
作者：
D. Knuth;T. J. Buckholtz
本文介绍了在电子计算机上计算切数、欧拉数和伯努利数的一些基本方法，这些方法比用了一个多世纪的传统递推关系式更容易和更快地计算出来。这些方法已被用来编制一个附表，该表扩展了这些数字的现有表。文中还证明了表中关于切数周期性的几个定理。
Some elementary methods are described which may be used to cal- culate tangent numbers, Euler numbers, and Bernoulli numbers much more easily and rapidly on electronic computers than the traditional recurrence relations which have been used for over a century. These methods have been used to prepare an accompanying table which extends the existing tables of these numbers. Some the- orems about the periodicity of the tangent numbers, which were suggested by the tables, are also proved.