Start with a row containing all positive integers. Then delete every mth column. Then replace the remaining entries by partial sums. Delete every (m-1)st column. Then replace with partial sums again, and so on. Show that the final result is a sequence of mth powers. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 6 7 8 9 11 12 13 14 1 3 6 10 16 23 31 40 51 63 76 90 1 3 6 16 23 31 51 63 76 1 4 10 26 49 80 131 194 270 1 4 26 49 131 194 1 5 31 80 211 405 1 31 211 1 32 243 1^5 2^5 3^5 --

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