A figurate number of
the form
where
is an octahedral number and is a tetrahedral number .
The first few are 1, 14, 51, 124, 245, ... (OEIS A007588 ).
The generating function for the stella octangula
numbers is
(3)
The only known square stella octangula numbers are 1 and 9653449, which correspond to
with
and .
See also Octahedral Number ,
Stella
Octangula ,
Tetrahedral Number
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References 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 "The On-Line Encyclopedia of Integer Sequences." Referenced
on Wolfram|Alpha Stella Octangula Number
Cite this as:
Weisstein, Eric W. "Stella Octangula Number."
From MathWorld --A Wolfram Web Resource. https://mathworld.wolfram.com/StellaOctangulaNumber.html
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