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The answer to the sums of the diagonals of a 1001 by 1001 spiral matrix is 669,171,001. More interesting than the answer is the number of responses and the variety of solutions. Beside solutions from APL and J, I received solutions using C++, RoboBasic, and EXCEL. Several submitters used their observations to produce mathematical solutions. Some of the mathematical solutions resulted in different equations. I'll try to summarize all the submissions.

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Exercises and problems: solutions to the diagonal sums on spiral matrices

Polivka, Ray
ACM SIGAPL APL Quote Quad , Volume 35 (4)
Association for Computing MachineryDec 1, 2007

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