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Centered Cube Number

A Figurate Number of the form,

{\it CCub}_n=n^3+(n-1)^3=(2n-1)(n^2-n+1).

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


See also Cubic Number


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 ``An On-Line Version of the Encyclopedia of Integer Sequences.'' and Sloane, N. J. A. and Plouffe, S. The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995.

© 1996-9 Eric W. Weisstein