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Decagonal Number


DecagonalNumber

A figurate number of the form 4n^2-3n. The first few are 1, 10, 27, 52, 85, ... (OEIS A001107). The generating function giving the decagonal numbers is

 (x(7x+1))/((1-x)^3)=x+10x^2+27x^3+52x^4+....

The first few odd decagonal numbers are 1, 27, 85, 175, 297, ... (OEIS A028993), and the first few even decagonal numbers are 10, 52, 126, 232, 370, 540, ... (OEIS A028994).


See also

Decagon, Figurate Number

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References

Sloane, N. J. A. Sequences A001107/M4690, A028993, and A028994 in "The On-Line Encyclopedia of Integer Sequences."

Referenced on Wolfram|Alpha

Decagonal Number

Cite this as:

Weisstein, Eric W. "Decagonal Number." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DecagonalNumber.html

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