A centered cube number is a centered figurate number that represents a cube. The centered cube number for n is given by
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. (sequence A005898 in OEIS)
If is the nth centered cube number and is the nth square pyramidal number, then
Centered cube numbers have applications in modelling the shells of atoms.
Famous quotes containing the words centered and/or number:
“The difference between style and taste is never easy to define, but style tends to be centered on the social, and taste upon the individual. Style then works along axes of similarity to identify group membership, to relate to the social order; taste works within style to differentiate and construct the individual. Style speaks about social factors such as class, age, and other more flexible, less definable social formations; taste talks of the individual inflection of the social.”
—John Fiske (b. 1939)
“After a certain number of years our faces become our biographies. We get to be responsible for our faces.”
—Cynthia Ozick (b. 1928)