12 Mar
2005
12 Mar
'05
7:05 a.m.
<< of all k-subsets (including the empty subset) of the n-th roots of 1, say n= 0 to 20, 0>= k>=n, how many add to zero? 1, 1, 2, 2, 4, 2, 10, 2, 16, 8, 34, 2, 100, 2, 130, 38, 256, 2, 1000, 2, 1156 ...
Some patterns here look intriguing. Like f(2^n) = 2^(2^(n-1)) for one, and f(6n) = 10^n for another. Do these extend? --Dan