tag:blogger.com,1999:blog-2433841880619171855.post5640026073585046730..comments2024-03-27T21:09:44.320+00:00Comments on Pat'sBlog: Almost Fibonacci CollectionUnknownnoreply@blogger.comBlogger2125tag:blogger.com,1999:blog-2433841880619171855.post-28922997891941962012013-02-23T16:16:36.847+00:002013-02-23T16:16:36.847+00:00I want Joshua Zucker's brain when he is throug...I want Joshua Zucker's brain when he is through with it. Pat's Bloghttps://www.blogger.com/profile/15234744401613958081noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-28348951711748022022012-03-30T06:32:24.306+01:002012-03-30T06:32:24.306+01:001/89 generates ALL the fibonacci numbers, it's...1/89 generates ALL the fibonacci numbers, it's just that carrying messes them up.<br /><br />Try 1/9899 or 1/998999 or ... you get the idea.<br /><br />Really what we're doing here is expanding 1/(x^2 - x - 1), which generates the Fibonacci sequence just fine, but when we work in base 10 instead of base x, we run into trouble with the carrying. So, do it in base 100, or base 1000, or ...Joshua Zuckerhttps://www.blogger.com/profile/04689961247338617418noreply@blogger.com