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Hexagonal Pyramidal Number

A pyramidal number of the form n(n+1)(4n-1)/6, The first few are 1, 7, 22, 50, 95, ... (OEIS A002412). The generating function of the hexagonal pyramidal numbers is

(x(3x+1))/((x-1)^4)=x+7x^2+22x^3+50x^4+....

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References

Sloane, N. J. A. Sequence A002412/M4374 in "The On-Line Encyclopedia of Integer Sequences."

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Hexagonal Pyramidal Number

Cite this as:

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

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