Centered cube number

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A centered cube number is a centered figurate number that represents a cube. The centered cube number for n is given by the equation

<math>n^3 + (n + 1)^3.</math>

The first few centered cube numbers are

1, 9, 35, 91, 189, 341, 559, 855, 1241, 1729, 2331, 3059, 3925, 4941, 6119, 7471, 9009, 10745, 12691, 14859, 17261, 19909, 22815, 25991, 29449, 33201, 37259, 41635, 46341, 51389, 56791, 62559, 68705, 75241, 82179, 89531, 97309, 105525.

Centered cube numbers have applications in modelling the shells of atoms.

See also

• cube number
• figurate number
• centered number

fr:Nombre cubique centré