“Centered Pentagonal Number”的概念、定义、习题解题方法及翻译-数学辞典

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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