Re: Bernoulli Numbers

*To*: mathgroup at smc.vnet.net*Subject*: [mg122623] Re: Bernoulli Numbers*From*: "Harvey P. Dale" <hpd1 at nyu.edu>*Date*: Thu, 3 Nov 2011 03:48:39 -0500 (EST)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*References*: <201111021122.GAA03586@smc.vnet.net>

Why not use the function BernoulliB that is built into Mathematica? This code will generate the first 20 Bernoulli numbers: BernoulliB[Range[0, 20]] Best, Harvey -----Original Message----- From: David Turner [mailto:DTurner at faulkner.edu] Sent: Wednesday, November 02, 2011 7:23 AM To: mathgroup at smc.vnet.net Subject: [mg122623] Bernoulli Numbers Hello, I wish to compute several Bernoulli numbers, say B0 through B20. The Bernoulli numbers are defined recursively by B0 = 1, and Solve[Sum[Binomial[n,k]*Bk,{k,0,n-1}]==0,Bn-1] for n > 1 I am trying to compute these numbers in some type of loop, and display them in a table. Any help is greatly appreciated. Thanks, David _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ This email and any files transmitted with it are confidential and intended solely for the use of the individual or entity to whom they are addressed. This message contains confidential information and is intended only for the individual named. If you are not the named addressee you should not dissem inate, distribute or copy this e-mail. Please notify the sender immediately by e-mail if you have received this e-mail by mistake and delete this e-mail from your system. If you are not the intended recipient you are notified that disclosing, copying, distributing or taking any action in reliance on the contents of this information is strictly prohibited.

**References**:**Bernoulli Numbers***From:*David Turner <DTurner@faulkner.edu>