User blog:Allamassal/Googolisms based on triangular numbers

Hello fellow googologists! I just joined this wiki and have a couple googolisms to share with you.

In case you don't know what a triangular number is, it is a number of the form n(n+1)/2 (or the sum of all integers from 1 to n). When I say the triangle of n, I mean the sum of all whole numbers from 1 to n.

The triangrol[1] is the first googologism I invented based on triangular numbers. It is defined like this:

Start with 2. Add up the whole numbers from 1 to 2. You get 3. Now add up the whole numbers from 1 to 3. You get 6. Keep calculating the triangle of each number you get until you get the first number in this sequence that is greater than a googol.

The exact value of triangrol is 2,325,779,134,965,967,427,487,810,008,002,168,938,006,567,536,111,554,301,529,048,698,796,969,115,778,520,822,121,347,163,627,529,767,530,146,944,024,732,879,347,696,758,531,031. It is equal to 2 triangled 10 times.

The triangrolplex[2] is defined in the same way, only you would keep finding the triangle until you get a number that is greater than 10^triangrol. It has more than 2.92939*10^132 digits and begins with 2475912332475733472364471024200423484021402881666258268..., but I know nothing about its last digits except that it must end in ...146, ...396, ...646, or ...896. It is equal to 2 triangled 443 times.