In the August 1974 Kickshaws, Dave Silverman suggested a number of Scrabble variants for jaded players. One that he neglected to mention does away with the dictionary entirely, allowing any combination of letters to count as a "word". In this version, Scrabble is reduced to a purely mathematical game, one in which players alternately place one to seven numbered tiles on the board in such a fashion as to maximize their own score and minimize their opponent's opportunities.
Beaman, Ralph G.
Word Ways: Vol. 7
, Article 9.
Available at: http://digitalcommons.butler.edu/wordways/vol7/iss4/9