2, 1, 1, -1, 3, -9, 23, -53, 115, -237, 457, -801, 1213, -1389, 445, 3667, ...
Inverse binomial transform of primes. The next member of the sequence is - 15081.
a(n) = Sum_{k=0..n-1} (-1)^(n-k-1) binomial(n-1,k) prime(k+1)
Sloane's A007442
9:42PM: I can't pretend that I understand this sequence, but it was pretty easy to find the answer by the google method.
Edited on November 21, 2005, 11:46 pm