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单词 Truncated Tetrahedral Number
释义

Truncated Tetrahedral Number

A Figurate Number constructed by taking the th Tetrahedral Number and removing the thTetrahedral Number from each of the four corners,


The first few are 1, 16, 68, 180, 375, ... (Sloane's A005906). The Generating Function for the truncated tetrahedralnumbers is



References

Conway, J. H. and Guy, R. K. The Book of Numbers. New York: Springer-Verlag, pp. 46-47, 1996.

Sloane, N. J. A. SequenceA005906/M5002in ``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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