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Octagonal Number

\begin{figure}\begin{center}\BoxedEPSF{OctagonalNumber.epsf scaled 600}\end{center}\end{figure}

A Polygonal Number of the form $n(3n-2)$. The first few are 1, 8, 21, 40, 65, 96, 133, 176, ... (Sloane's A000567). The Generating Function for the octagonal numbers is



Sloane, N. J. A. Sequence A000567/M4493 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