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The next number is 1854, and after that comes 14833.
Numerically the number in position n is n times the sum of the two preceding terms.
The meaning of the sequence is the number of derangements of n objects. That is, each is the number of ways n objects can be rearranged so that none is in its right position, as in the case of mismatched labels. If you have one can and one label there are zero ways to mismatch them. If there are two cans and two labels there is only one way to mismatch them. With three cans and three labels there are two ways of mismatching them all. With four cans and four labels there are nine ways of mismatching them all, etc. |
