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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

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