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单词 Trinomial Triangle
释义

Trinomial Triangle

The Number Triangle obtained by starting with a row containing a single ``1'' and the next row containing three 1s andthen letting subsequent row elements be computed by summing the elements above to the left, directly above, and above to the right:

(Sloane's A027907). The th row can also be obtained by expanding and taking coefficients:
 
 
 

and so on.

See also Pascal's Triangle


References

Sloane, N. J. A. Sequence A027907in ``The On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html.


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更新时间:2024/11/15 2:59:22