Conversation

Notices

1. Embed this notice
   Joshua Bowman (thalesdisciple@mathstodon.xyz)'s status on Saturday, 04-Mar-2023 11:01:30 JST Joshua Bowman

   in reply to

   We know that the Fibonacci (or Virahanka) numbers can be used to count how many ways to express each integer as a sum of 1s and 2s:
   1=1 (1 way)
   2=1+1=2 (2 ways)
   3=1+1+1=1+2=2+1 (3 ways)
   4=1+1+1+1=1+1+2=1+2+1=2+1+1=2+2 (5 ways)
   5=1+1+1+1+1=1+1+1+2=1+1+2+1=1+2+1+1=1+2+2=2+1+1+1=2+1+2=2+2+1 (8 ways)
   and so on. But what if we want to count the number of terms used in all these sums, or (equivalently) the average number of terms, or (again, equivalently) the average ratio of 1s to 2s? That’s the problem addressed in this post.
   https://thalestriangles.blogspot.com/2023/03/an-average-number-of-1s-and-2s.html
   #math #Fibonacci #Virahanka

   • Embed this notice
     Joshua Bowman (thalesdisciple@mathstodon.xyz)'s status on Saturday, 04-Mar-2023 11:01:31 JST Joshua Bowman

     I’ve been on spring break this week, and so I’ve been catching up on things I’ve been meaning to do, like write this blog post: “an average number of 1s and 2s” https://thalestriangles.blogspot.com/2023/03/an-average-number-of-1s-and-2s.html
     #math #blog

     表示名 repeated this.