I am trying to make sense of this graph $y=x-\sum\limits_1^x(i\mod 3)$ where $i$ is the number of odd steps for $x$ to reach $1$ in a Collatz sequence. (plot of $x$ from $1$ to $10^6$) The graph is to be interpreted as follow: if $i\equiv 2\mod3$ than $y$ goes up, if $i\equiv 1\mod3$ than $y$ st...

How do we count up to an infinite answer? We use a pattern representative of an algebraic formulation in thought:3n+1=1. We are looking for a pattern to represent the whole of the Truth conjectured. The oddity of the system is we multiply oddly and divide evenly. Since, the primary count is based...