Sum of first 3 powers

Rule

Each term is: The number multiplied by the next larger number plus one

Known as: Sum of first 3 powers

The sum of the first three powers of n.

The first 50 terms (starting from n=1) are:

3 7 13 21 31 43 57 73 91 111 133 157 183 211 241 273 307 343 381 421 463 507 553 601 651 703 757 813 871 931 993 1057 1123 1191 1261 1333 1407 1483 1561 1641 1723 1807 1893 1981 2071 2163 2257 2353 2451 2551

Example

To get the value for n=13:

• Multiply by the next larger number (14), giving 182.
• Add one, giving 183.

So the result is 183.