Drexel dragonThe Math ForumDonate to the Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.

Math Forum » Discussions » Math Topics » discretemath

Topic: binary pascal-ish triangle
Replies: 0  

Advanced Search

Back to Topic List Back to Topic List  
Angela Richardson

Posts: 42
From: UK
Registered: 6/22/11
binary pascal-ish triangle
Posted: Mar 6, 2012 1:49 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply
att1.html (0.7 K)

Every row in this triangle is a power of 3 in binary


In the second column from the left, 1010100..., there are no consecutive 1s. I want to know what the ratio of 0s to 1s converges to, if it converges.

On the right side of the triangle, there are the patterns 1111..., then 101010..., then 1000... which are  powers of 3 modulo powers of 2. Is there any quicker way to find the nth pattern than modular arithmetic?

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum 1994-2015. All Rights Reserved.