TOPICS
Search

Centered Cube Number

CenteredCubicNumber

A centered cube number is a figurate number of the form

CCub_n=n^3+(n-1)^3=(2n-1)(n^2-n+1).

Here n is a positive integer. The first few are 1, 9, 35, 91, 189, 341, ... (OEIS A005898). The generating function for the centered cube numbers, convergent for |x|<1, is

(x(x^3+5x^2+5x+1))/((x-1)^4)=x+9x^2+35x^3+91x^4+....

See also

Cubic Number

Explore with Wolfram|Alpha

References

Conway, J. H. and Guy, R. K. The Book of Numbers. New York: Springer-Verlag, p. 52, 1996.Sloane, N. J. A. Sequence A005898/M4616 in "The On-Line Encyclopedia of Integer Sequences."

Referenced on Wolfram|Alpha

Centered Cube Number

Cite this as:

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

Subject classifications