What's the number that follows in this sequence, and what is the sequence's significance?
0,1,2,9,44,265,...
The next number in the sequence is the recontres number
D7,0 and seventh subfactorial (!7), or in other words, the number of derangements of a set of seven elements, i.e., 1854.
The sequence can be found in "The On-line Encyclopedia of Integer Sequences" (Sloan's A000166).
!0 = 1, !1 = 0, !2 = 1, !3 = 2, !4 = 9, !5 = 44, !6 = 265,
!7 = 1854, !8 = 14833, !9 = 133496, ...
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Posted by Dej Mar
on 2008-01-30 08:24:33 |
Solution
