perplexus.info :: Numbers : Consecutive Integer Series

Consecutive Integer Series (Posted on 2007-05-14)

In the infinite series 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 5... each positive integer k appears k times in consecutive order.

Write a formula for the sum of the first n terms of the series.

See The Solution Submitted by Dennis

Rating: 4.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re(2): A formula

| Comment 8 of 12 |

(In reply to re: A formula by Dennis)

Probably an explicit formula without summation doesn't exist, as otherwise Sloane would have listed it.

Posted by Charlie on 2007-05-15 01:23:01

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info