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单词 Centered Pentagonal Number
释义

Centered Pentagonal Number

A Centered Polygonal Number consisting of a central dot with five dots around it, and then additional dots in thegaps 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


See also Centered Square Number, Centered Triangular Number


References

Sloane, N. J. A. SequenceA005891/M4112in ``An On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html and Sloane, N. J. A. and Plouffe, S.The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995.


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更新时间:2024/11/11 11:33:52