Sequence with only 3 numbers (Posted on 2009-03-07)

	Submitted by pcbouhid
Rating: 2.0000 (1 votes)
Solution:	(Hide)
My simple way was: square the previous one, add the digits, plus 1. Watch this: 2, 5, 8, 11,... 3, 10, 2, 5, 8, 11,... 4, 8, 11, 5, 8, 11,... 6, 10, 2, 5, 8, 11,... 7, 14, 17, 20, 5, 8, 11,... 22, 17, 20, 5, 8, 11,... etc... That is, no matter the "seed", I always get the periodic 5, 8, 11!!!!! This can be proved? I didnīt find (yet) a counterproof!!

	Subject	Author	Date
	re: to the question posed in the official solution (spoiler)	pcbouhid	2009-03-11 18:11:41
	to the question posed in the official solution (spoiler)	Charlie	2009-03-11 10:55:45
	Another simple way...	Dej Mar	2009-03-10 10:44:37
	My solution	Robby Goetschalckx	2009-03-10 05:24:31
	re(2): How to solve it recursively? 10 excess	Gamer	2009-03-10 02:03:31
	re: How to solve it recursively? 10 excess	Ady TZIDON	2009-03-09 08:19:31
	How to solve it recursively?	Gamer	2009-03-08 00:36:18
	general solution	Daniel	2009-03-07 22:59:00
	Recurrence	Harry	2009-03-07 19:22:16
	WITHOUT MOD	Ady TZIDON	2009-03-07 16:50:19
	my solution	Daniel	2009-03-07 14:09:34