#K35672. Sum of Squares Sequence
Sum of Squares Sequence
Sum of Squares Sequence
You are given a positive integer n. Your task is to calculate the nth number in a sequence where each number is defined as the sum of the squares of the first n natural numbers. Formally, for a given n, you need to compute:
\( S(n) = 1^2 + 2^2 + \cdots + n^2 = \frac{n(n+1)(2n+1)}{6} \)
For example, when n = 3
, the output is 14
because \(1^2 + 2^2 + 3^2 = 1 + 4 + 9 = 14\).
inputFormat
The input consists of a single line containing an integer n
(1 ≤ n ≤ 106).
outputFormat
Output a single integer which is the nth term of the sequence, i.e. the sum of squares of the first n natural numbers.
## sample1
1