Can you find a pattern in this sequence? Or is it two patterns running together as one? Or is it a multiple set of patterns, which is simple in nature and moves to the more complex as the equation moves forward? Hard to say, but let us explore this number shall we? Lets create a pattern rather than trying to find one and here is the sequence I came up with which carries this set of numbers out a ways. Here it is; 4 8 15 16 23 42, 32, 39, 65, 139, 64, 71, 104, 204, 443, 128, 135, 175 This was accomplished by drawing a pyramid [linear] on a piece of paper, then drawing five lines parallel to the base. Where each line touched a side I drew a downward perpendicular line to them. This created a grid inside the pyramid with additional intersections and thus each of the new intersections received one of the numbers of the original sequence starting at the tip of the pyramid from right to left until I ran out of numbers. Then I re-adjusted the number of lines to fit my given numbers due to the number of intersections. Then I simple used each distance between each number as the forward calculations for the next number. No big deal. Then I noticed that if you put the numbers in sequence on a line and run sines and cosines over them you get the same answers as long as you use the same forward calculation numbers. Anyway, that is the pattern I created and it works for me. 4 of the numbers in this sequence I created are [+,-] because you cannot know the answers, but my guess is close and perhaps the real question it the relationship of the unknown to the known. Consider such patterns in 2006. |
