Sum of roll of N dice

[Joe Horn]

(05-04-2018 06:09 AM)Csaba Tizedes Wrote:  N×3.5 was my first intuitive thought about it.
This is the most probably value of the sum of N dice rolling.

That's not what is being sought here. What is desired is a program which simulates rolling N dice and returning the total of the numbers on their faces. So different runs would get different results (just like throwing N dice gets different results). This task has been programmed a zillion times in every programming language... but always by generating N random numbers between 1 and 6, and adding them all together. My question is: How can a program be written which generates only ONE random number, and then somehow turns it into a number which is statistically indistinguishable from the total of N dice rolls?

I'm not looking for a single value (that's trivial). Nor am I looking for a way to add N random integers (also trivial). I'm looking for a way to simulate getting the total on N rolled dice, but using only ONE random number to generate the "total" directly (without generating any of the individual dice throws).

(05-04-2018 06:09 AM)Csaba Tizedes Wrote:  I think the Joe Horn's question is not exact.

I hope my attempt above was more clear.