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单词 Rhombic Dodecahedral Number
释义

Rhombic Dodecahedral Number

A Figurate Number which is constructed as a centered Cube with a Square Pyramid appended to each face,


where is a Centered Cube Number and is a Pyramidal Number. The first few are 1, 15, 65,175, 369, 671, ... (Sloane's A005917). The Generating Function of the rhombic dodecahedral numbers is


See also Octahedral Number


References

Conway, J. H. and Guy, R. K. The Book of Numbers. New York: Springer-Verlag, pp. 53-54, 1996.

Sloane, N. J. A. SequenceA005917/M4968in ``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:2024/11/15 3:21:06