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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.
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