All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers > Sequences
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)

Comments: ( Back to comment list | You must be logged in to post comments.)
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
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (13)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information