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 
, and the first few such numbers are 1, 6, 16, 31, 51, 76, ... (Sloane's A005891). The generating function of the centered pentagonal numbers is
, and the first few such numbers are 1, 6, 16, 31, 51, 76, ... (Sloane's A005891). The generating function of the centered pentagonal numbers is Ref: mathworld.wolfram.com |
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