So I have this issue here with a certain sequence or rather group of sequences.
The number triangle is as follows,
$7$
$4$ $8$
$2$ $5$ $9$
$1$ $3$ $6$ $10$
I've realized that the bottom row is triangle numbers, with $(x(x+1))/2$
The first column is supposed to be $(n(n+1))/2 + 1$
The issue I'm having with is determining nth terms for the whole triangle, assuming it goes on for even larger numbers. For example, if 1 is at the position $(1,1)$, what steps can I take to locate other numbers, such as a number at the position $(4,8)$. I've tried to find equations for rows or columns, but I keep getting separate ones rather than a consistent algorithm.
Thanks.