power-series

Computing A Specific Generating Function Sequence

http://www.research.att.com/~njas/sequences/A097196 I was wondering how to continue generating the sequence given in the link. It is based off a generating function. Any ideas would be appreciated. Certain numbers in a certain sequence of this sequence are showing up as answers to subproblems of Project Euler problem 208 (robot walks...

How do I convert the SERIESSUM function to VB6?

On the Daily Dose of Excel website, written by the late Frank Kabel, there are some formulae which can stand in for ATP functions. Not being an Excel guru, I'm struggling with converting one (so far!) to VB6. (Why I'm doing this I may relate once the NDA runs out.) The problem I'm having is with the code standing in for SERIESSUM, namel...

Any (free) tools to compute Taylor series expansion of a function?

After painful trial and error, I arrived at a grotesque function that behaves the way I want it to: (exp(- abs(6 * (x - 0.7)) ^ 2.5 ) + exp(- (x-1.7) ^ 8 ) * 1.2)/1.5785 I only care about the values for the range 0 <= x <= 1 and the slope at x = 1. In this interval, 0 <= y <= 1 as well. Are there any free tools (web-based or MAC OS X...