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Stella Octangula Number

A Figurate Number of the form,

{\it StOct}_n=O_n+8T_{n-1}=n(2n^2-1).

The first few are 1, 14, 51, 124, 245, ... (Sloane's A007588). The Generating Function for the stella octangula 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 A007588/M4932 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