I'm a maths moron, but I think you guys are over-thinking (at least when it comes to the Pick3 games). After reading this thread, I set out to find a fresh example of a simple pattern in the numbers and it only took me two days to find one. I publicly called last night's Pennsylvania P3 result using software that pulls the world's simplest pattern out of the numbers. It looks like this:
02/26/2016 064;236 | 04/08/2014 064;182 | 09/07/2012 098;064
02/27/2016 337;315 | 04/09/2014 196;528 | 09/08/2012 602;260
02/28/2016 430;637 | 04/10/2014 590;768 | 09/09/2012 273;378
02/29/2016 454;545 | 04/11/2014 716;008 | 09/10/2012 801;046
03/01/2016 102;574 | 04/12/2014 601;601 | 09/11/2012 497;671
03/02/2016 610;852 | 04/13/2014 479;866 | 09/12/2012 953;573
03/03/2016 416;402 | 04/14/2014 317;287 | 09/13/2012 471;205
03/04/2016 460;276 | 04/15/2014 630;368 | 09/14/2012 991;705
03/05/2016 857;939 | 04/16/2014 207;759 | 09/15/2012 857;985
03/06/2016 703;125 | 04/17/2014 702;298 | 09/16/2012 140;342
03/07/2016 834;756 | 04/18/2014 476;969 | 09/17/2012 595;392
03/08/2016 246;551 | 04/19/2014 722;441 | 09/18/2012 113;497
03/09/2016 033;857 | 04/20/2014 040;579 | 09/19/2012 962;016
03/10/2016 913;410 | 04/21/2014 688;244 | 09/20/2012 739;865
03/11/2016 884;713 | 04/22/2014 712;773 | 09/21/2012 943;163
03/12/2016 762;960 | 04/23/2014 618;036 | 09/22/2012 689;364
03/13/2016 281;485 | 04/24/2014 345;184 | 09/23/2012 607;340
03/14/2016 729;311 | 04/25/2014 930;513 | 09/24/2012 149;773
03/15/2016 645;679 | 04/26/2014 367;173 | 09/25/2012 853;489
03/16/2016 372;386 | 04/27/2014 458;979 | 09/26/2012 057;629
03/17/2016 911;601 | 04/28/2014 419;565 | 09/27/2012 250;736
03/18/2016 036;052 | 04/29/2014 141;547 | 09/28/2012 942;360
03/19/2016 301;070 | 04/30/2014 070;028 | 09/29/2012 070;057
All you do is look for number pairings at a certain number of days. It's not hard, just create a dictionary of every number pair within a window of days (I arbitrarily use 30 to 40, we tried up to 1000 days without better results), then sort the dictionary on the first number + the second number + the number of days, then accumulate a list of the pairings that have happened more than once and reconcile it with the numbers which have fallen most recently within the window you chose to begin with.
I know I'm a knuckle-dragging, mouth-breathing maths moron, but you have to admit, it's a little peculiar how easy it was for me to find a fresh hit based on this idiotically-simple idea. I did it prospectively to give you guys a new example to think about. I know you guys are going to quickly say, "Let's see you do it again!" To which I quickly reply, "Okay." Heh.
Seriously guys, I know I'm just deluding myself, but I would sincerely appreciate it if one of you maths folks would at least take a whack at this just to make once-and-for-all sure that I'm wrong.