A polygonal number of the form ,
also called an enneagonal number. The first few are 1, 9, 24, 46, 75, 111, 154, 204,
... (OEIS A001106 ). The generating
function for the nonagonal numbers is
The first few odd nonagonal numbers are 1, 9, 75, 111, 261, 325, ... (OEIS A028991 ), and the first few even nonagonal numbers are 24, 46, 154, 204, 396, ... (OEIS A028992 ).
See also Figurate Number ,
Nonagonal Heptagonal Number ,
Nonagonal Hexagonal
Number ,
Nonagonal Octagonal Number ,
Nonagonal Pentagonal Number ,
Nonagonal
Square Number ,
Nonagonal Triangular
Number ,
Polygonal Number
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References Sloane, N. J. A. Sequences A001106 /M4604, A028991 , and A028992
in "The On-Line Encyclopedia of Integer Sequences." Referenced
on Wolfram|Alpha Nonagonal Number
Cite this as:
Weisstein, Eric W. "Nonagonal Number."
From MathWorld --A Wolfram Web Resource. https://mathworld.wolfram.com/NonagonalNumber.html
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