Firstly let me be clear, I don't play the lottery or even follow draws, but something going round in my head for some time are the possible results of a lottery draw, The chance is roughly 1 in 13,983,816 but that is also a big odd against any pattern to emerge, for instance, its very unlikely that 1 2 3 4 5 6 will ever occur, for that matter so would 2 3 4 5 6 7 or even 1 3 5 7 9 11 This brings me to my question, is there a way to describe all possible "ordered" results and subtract that from the total odds? Wiki entry
One should not be mislead in considering properties of numbers to derive "likeness" of particular lottery draws. Lotteries use numbers simply as a concrete device to make balls distinguishable and bets easy to make.
Were the lotteries use abstract symbols such as $$ \bullet\qquad\times\qquad\oplus\qquad\circ\qquad\ddagger\qquad\nabla\qquad... $$ to diversify the balls, all the numerical "coincidences" would just disappear proving what they really are: psychologically induced illusions.