/sci/ - Science & Math

I'm trying to find a formula for the following sequence:

1
1+2
1+2+1+2+3
1+2+1+2+3+1+2+1+2+3+1+2+3+4

Basically, every term k in the nth sequence turns into the sum from 1 to (k+1) in the (n+1)th sequence.

Any help?

/thread

We had another tedious 0.999... thread, but what about the reverse -- ...999.0?

The series is divergent, but IMHO, equating the notion of "limit of partial sums" with "infinite sum" is a simplistic and arbitrary imposition of "order" that stifles mathematical creativity.

...999.0 = -1. Try some arithmetic with it -- add 1 to it, say, and you'll get 0. Multiply it by itself and you'll get 1, and so on. You won't find any contradictions.

How do you know that adding an infinite number of positive integers together won't yield a finite result? I mean, how do you really KNOW it? You can say "because divergence" all you want, but it doesn't prove anything.

Ramanujan said that 1 + 2 + 3 + 4 + ... = -1/12, and he was a lot smarter than you.

I am THE RAMANUJAN !

This man was the most intelligent mathematician we know.

Can anyone get this article in pdf form through their school for me and put it on mediafire or something pl0x?

Asymptotic Formulae in Combinatory Analysis
Hardy, Ramanujan
Proceedings London Mathematical Society
Volume s2-17, Issue1
Pp. 75-115

In return, uhh..., something?

Fuck yeah

Your contribution to the world will never amount to anything compared to what this man did in a small amount of time.