Basic knowledge (Posted on 2006-01-10)

	Submitted by Alexis
Rating: 5.0000 (1 votes)
Solution:	(Hide)
The next number in the sequence is 3628800. The general rule behind the sequence is to write n! in base n. For the first number, 2!=2, written in base 2 (binary) is 10. For the second number, 3!=6, written in base 3 would be 20 (2*3^1 + 0*3^0). For the third number, 4!=24, written in base 4 would be 120 (1*4^2 + 2*4^1 + 0*4^0). For the last number (the ninth number), 10!=3628800, which written in base 10 is the same number. Therefore, the answer is 3628800, or 10!. If anyone wants to try with a computer, please post the solution you find. I think it would be interesting to see how a computer simulates human intuition.

	Subject	Author	Date
	Solution To Part II	K Sengupta	2008-04-18 15:58:14
	Solution To Part I	K Sengupta	2008-04-18 15:50:02
	Yep	Justin	2006-03-17 19:26:34
	Solution	The riddler	2006-01-11 22:59:37
	Hint	goFish	2006-01-11 10:12:22