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单词 Centered Triangular Number
释义

Centered Triangular Number

A Centered Polygonal Number consisting of a central dot with three dots around it, and then additional dots in thegaps between adjacent dots. The general term is , and the first few such numbers are 1, 4, 10, 19, 31, 46,64, ... (Sloane's A005448). The Generating Function giving the centered triangular numbers is


See also Centered Pentagonal Number, Centered Square Number


References

Sloane, N. J. A. SequenceA005448/M3378in ``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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