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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 Plain solution | Comment 2 of 6 |

Starting with the list of primes, we can calculate the first differences of the terms, then the difference of the differences and so on.

Reading the first column gives the sequence.

 

2, 3, 5, 7...

1, 2, 2, 4...

1, 0, 2, -2...

-1, 2, -4, 4...

3, -6, 8, -8...

-9, 14, -16, 16...

23, -30, 32, -28...

-53, 62, -60, 38...

115, -122, 98, -26...

-237, 220, -124, -56...

457, -344, 68, 304...

-801, 412, 236, -884...

1213, -176, -1120, 2048...

-1389, -944, 3168, -4134...

445, 4112, -7302, 7538...

3667, -11414, 14840, -12630...

-15081, 26254, -27470, 19516...

41335, -53724, 46986, -27338...

-95059, 100710, -74324, 32302...

195769, -175034, 106626, -22610...


  Posted by goFish on 2005-11-21 11:18:40
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