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单词 Catalan's Triangle
释义

Catalan's Triangle

A triangle of numbers with entries given by


for , where each element is equal to the one above plus the one to the left. Furthermore, thesum of each row is equal to the last element of the next row and also equal to the Catalan Number .


(Sloane's A009766).

See also Bell Triangle, Clark's Triangle, Euler's Triangle, Leibniz Harmonic Triangle, NumberTriangle, Pascal's Triangle, Prime Triangle, Seidel-Entringer-Arnold Triangle


References

Sloane, N. J. A. Sequence A009766in ``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:2025/2/22 2:12:02