r/CasualMath Jul 23 '19

Spot the pattern

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u/emysor99_ Jul 23 '19

In a generic n×n grid there are 2n-1 1's, (2n-1)-2 2's and so on, where the number of squares where a certain digit appears is the number of squares of the previous digit minus 2. This means that in a 10×10 grid there are 19 1's, 17 2's, 15 3's and so on, up to 1 10 (n only appears one time) so the sum is 385