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Integer Sequences to Represent Solutions to the Eight Queens Puzzle

It's my delight to share with you my discovery that if all sixty-four squares of the chess board are numbered from one to sixty-four, starting from square a1 to square h8, and the eight queens are numbered according to their placements in the squares, all 92 distinct solutions can be represented by 92 integer sequences, each queen placement represents a term. And for all 92 sequences, the sum of all eight terms in each sequence is 260. Following are the twelve integer sequences that represent the twelve unique solutions out of possible 92 distinct solutions. If you see an error in this list, please let me know. Paul

Sol Sequence Total
Q1 8,10,20,25,39,45,51,62 260
Q2 8,10,21,27,33,47,52,62 260
Q3 3,16,20,31,33,46,50,61 260
Q4 5,16,20,25,39,42,54,59 260
Q5 4,16,17,29,39,42,54,59 260
Q6 6,16,18,28,33,47,53,59 260
Q7 4,16,21,27,33,47,50,62 260
Q8 5,10,20,30,40,43,49,63 260
Q9 4,16,17,27,38,42,55,61 260
Q10 4,14,24,26,39,41,51,61 260
Q11 4,10,24,29,39,41,51,62 260
Q12 3,14,24,25,37,47,50,60 260


Copyright 1996-2004 Paul B. Muljadi. All Rights Reserved.