Evil twins alternate with odious twins
نویسنده
چکیده
An integer is called evil if the number of ones in its binary expansion is even and odious if the number of ones in the binary expansion is odd. If we look at the integers between 0 and 15 we find that 0, 3, 5, 6, 9, 10, 12, 15 are evil and that 1, 2, 4, 7, 8, 11, 13, 14 are odious. Next we say that if two consecutive integers are evil then this is a pair of evil twins and that if two consecutive integers are odious then this is a pair of odious twins. Returning to the integers from 0 to 15 we see that {5, 6} and {9, 10} are two sets of evil twins and that {1, 2}, {7, 8} and {13, 14} are three pairs of odious twins. We can now state the new result of this paper:
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