A Figurate Number which is constructed as a centered Cube with a
Square Pyramid appended to each face,

where is a Centered Cube Number and is a Pyramidal Number. The first few are 1, 15, 65, 175, 369, 671, ... (Sloane's A005917). The Generating Function of the rhombic dodecahedral numbers is

**References**

Conway, J. H. and Guy, R. K. *The Book of Numbers.* New York: Springer-Verlag, pp. 53-54, 1996.

Sloane, N. J. A. Sequence
A005917/M4968
in ``An On-Line Version of the Encyclopedia of Integer Sequences.''
http://www.research.att.com/~njas/sequences/eisonline.html and Sloane, N. J. A. and Plouffe, S.
*The Encyclopedia of Integer Sequences.* San Diego: Academic Press, 1995.

© 1996-9

1999-05-25