- Centered cube number
A centered cube number is a centered
figurate number that represents acube . The centered cube number for "n" is given by:n^3 + (n + 1)^3.
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. OEIS|id=A005898
If C_n is the "n"th centered cube number and P_n is the "n"th
square pyramidal number , then:C_n=P_n +4P_{n-1}+P_{n-2}.
Centered cube numbers have applications in modelling the shells of
atom s.ee also
*
cube number
*figurate number
*centered number
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