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

Home > Numbers > Sequences
Next in Line (Posted on 2003-05-12) Difficulty: 3 of 5
What's the number that follows in this sequence, and what is the sequence's significance?

0,1,2,9,44,265,...

See The Solution Submitted by Charlie    
Rating: 2.3333 (6 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Puzzle Solution Comment 9 of 9 |
(In reply to Answer To The Problem by K Sengupta)

Let S(p) be the pth term of the given sequence.

Then, the terms of the given sequence is defined by the recurrence relation:

S(p) = (p-1)(S(p-2) + S(p-1))

Thus,

S(1) = 0

S(2) = 1

S(3) = 2(0+1) = 2

S(4) = 3(1+2) = 9

S(5) = 4(2+9) = 44

S(6) = 5(9+44) = 265

S(7) = 6(44+265) = 1854

S(8) = 7(265 + 1854) = 14833

Consequently, the required missing terms are 1854 and 14833

 


  Posted by K Sengupta on 2008-03-28 12:34:03
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 (9)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information