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Date: 10-11-2020
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Date: 26-7-2020
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Date: 9-12-2020
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A figurate number corresponding to a configuration of points which form a pyramid with -sided regular polygon bases can be thought of as a generalized pyramidal number, and has the form
(1) |
The first few cases are therefore
(2) |
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(3) |
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(4) |
so corresponds to a tetrahedral number , and to a square pyramidal number .
The pyramidal numbers can also be generalized to four dimensions and higher dimensions (Sloane and Plouffe 1995).
REFERENCES:
Conway, J. H. and Guy, R. K. "Tetrahedral Numbers" and "Square Pyramidal Numbers" The Book of Numbers. New York: Springer-Verlag, pp. 44-49, 1996.
Sloane, N. J. A. and Plouffe, S. "Pyramidal Numbers." Extended entry for sequence M3382 in The Encyclopedia of Integer Sequences. San Diego, CA: Academic Press, 1995.
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دراسة يابانية لتقليل مخاطر أمراض المواليد منخفضي الوزن
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