A figurate number of the form,

The first few are 1, 9, 35, 91, 189, 341, ... (Sloane's A005898). The generating function for the centered cube numbers is

Conway, J. H. and Guy, R. K. The Book of Numbers. New York: Springer-Verlag, p. 51, 1996.

Sloane, N. J. A. Sequence A005898/M4616 in "The On-Line Encyclopedia of Integer Sequences."

CITE THIS AS:

Weisstein, Eric W. "Centered Cube Number." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/CenteredCubeNumber.html