Possible static filter data
For a 6/49 lottery, Fibonacci numbers are 1, 2, 3, 5, 8, 13, 21 and 34 (each number being the sum of the 2 preceding one, starting with 1 and 2). For the combinations with Fibonacci numbers, here are the theorical values for each possibility:
4,496,388 combinations with 0 Fibonacci number or 32.16%
5,995,184 combinations with 1 Fibonacci number or 42.88%
2,835,560 combinations with 2 Fibonacci numbers or 20.28%
596,960 combinations with 3 Fibonacci numbers or 4.27%
57,400 combinations with 4 Fibonacci numbers or 0.41%
2,296 combinations with 5 Fibonacci numbers or 0.02%
28 combinations with 6 Fibonacci numbers or 0.00%
For a 6/49 lottery, Lucas numbers are 1, 3, 4, 7, 11, 18, 29 and 47 (each number being the sum of the 2 preceding one, starting with 1 and 3). For the combinations with Lucas numbers, here are the theorical values for each possibility:
4,496,388 combinations with 0 Lucas number or 32.16%
5,995,184 combinations with 1 Lucas number or 42.88%
2,835,560 combinations with 2 Lucas numbers or 20.28%
596,960 combinations with 3 Lucas numbers or 4.27%
57,400 combinations with 4 Lucas numbers or 0.41%
2,296 combinations with 5 Lucas numbers or 0.02%
28 combinations with 6 Lucas numbers or 0.00%
For the combinations with multiples of 5, here are the theorical values for each possibility:
3,838,380 combinations with 0 Lucas number or 27.45%
5,922,072 combinations with 1 Lucas number or 42.35%
3,290,040 combinations with 2 Lucas numbers or 23.53%
829,920 combinations with 3 Lucas numbers or 5.94%
98,280 combinations with 4 Lucas numbers or 0.70%
5,040 combinations with 5 Lucas numbers or 0.04%
84 combinations with 6 Lucas numbers or 0.00%
Generating filters is easy: select 6 numbers and find a pattern and there you have a new filter.
The winning combination of draw #670 for the Canadian Lotto 6/49 is a good example; many will say that the winning numbers (22, 27, 32, 37, 42 and 47) should never have come out since it follows the same pattern as the famous 1, 2, 3, 4, 5 and 6 combination. A different starting number (22 instead of 1) and a different delta (5 instead of one) but the same pattern i.e. the 5 deltas are all equal. Working with deltas can generate a lot of static filters (different starting numbers, different patterns for deltas, etc.).
I would say that the 2 following combinations have the same pattern (but a little more difficult to see): 1-4-13-21-23-40 and 2-6-7-18-19-22
But in the long run, each and every one of the 13,983,816 combinations has exactly the same chance of coming out and will eventually. You can also expect a winning combination to repeat itself, soon I would say (well, soon is quite relative).