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Primal Sequence (Posted on 2005-11-21) Difficulty: 4 of 5
2, 1, 1, -1, 3, -9, 23, -53, 115, -237, 457, -801, 1213, -1389, 445, 3667, ...

See The Solution Submitted by Dustin    
Rating: 2.0000 (2 votes)

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Solution Formerly M0065 (Full Solution) | Comment 1 of 6

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
  Posted by Mindy Rodriguez on 2005-11-21 09:45:09

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