Square Pyramidal Number
Calculate the sum of squares from 1 to n using n(n + 1)(2n + 1) / 6.
Table of Contents
12 Integer n =
650 Sum of Squares
Representative value from the Square Pyramidal Number reference table.
Reference Values
Browse 23 reference values with individual detail pages for quick lookup.
Square Pyramidal Number
Calculate the sum of squares from 1 to n using n(n + 1)(2n + 1) / 6.
Calculated Result
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Reference Table
Use this complete table for quick lookup and internal linking to specific value pages.
| n | 1² + ... + n² |
|---|---|
| 0 Integer n | 0 Sum of Squares |
| 1 Integer n | 1 Sum of Squares |
| 2 Integer n | 5 Sum of Squares |
| 3 Integer n | 14 Sum of Squares |
| 4 Integer n | 30 Sum of Squares |
| 5 Integer n | 55 Sum of Squares |
| 6 Integer n | 91 Sum of Squares |
| 7 Integer n | 140 Sum of Squares |
| 8 Integer n | 204 Sum of Squares |
| 9 Integer n | 285 Sum of Squares |
| 10 Integer n | 385 Sum of Squares |
| 12 Integer n | 650 Sum of Squares |
| 15 Integer n | 1,240 Sum of Squares |
| 20 Integer n | 2,870 Sum of Squares |
| 25 Integer n | 5,525 Sum of Squares |
| 50 Integer n | 42,925 Sum of Squares |
| 75 Integer n | 143,450 Sum of Squares |
| 100 Integer n | 338,350 Sum of Squares |
| 250 Integer n | 5,239,625 Sum of Squares |
| 500 Integer n | 41,791,750 Sum of Squares |
| 1,000 Integer n | 333,833,500 Sum of Squares |
| 5,000 Integer n | 41,679,167,500 Sum of Squares |
| 10,000 Integer n | 333,383,335,000 Sum of Squares |
Frequently Asked Questions
Common questions about Square Pyramidal Number, formulas, and typical use cases.
What does the Square Pyramidal Number calculator do?
It helps with evaluating discrete sums and sequence formulas in algebra and statistics.
What formula does the Square Pyramidal Number calculator use?
Sum of squares = n(n + 1)(2n + 1) / 6.
What inputs are valid?
n must be a non-negative integer up to 10,000 for exact safe integer output.
When would I use this?
evaluating discrete sums and sequence formulas in algebra and statistics
Methodology and Review
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