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.
(In reply to
A formula by Dej Mar)
Interesting formula! . . .
I was hoping for an explicit formula that could readily be used to find the sum for a large number of terms.

Posted by Dennis
on 20070514 16:48:08 