Centered Pentagonal Number


A centered polygonal number consisting of a central dot with five dots around it, and then additional dots in the gaps between adjacent dots. The general term is (5n^2+5n+2)/2, and the first few such numbers are 1, 6, 16, 31, 51, 76, ... (OEIS A005891). The generating function of the centered pentagonal numbers is


See also

Centered Polygonal Number, Centered Square Number, Centered Triangular Number, Hex Number, Pentagonal Number

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Sloane, N. J. A. Sequence A005891/M4112 in "The On-Line Encyclopedia of Integer Sequences."

Referenced on Wolfram|Alpha

Centered Pentagonal Number

Cite this as:

Weisstein, Eric W. "Centered Pentagonal Number." From MathWorld--A Wolfram Web Resource.

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