“Leibniz Harmonic Triangle”的概念、定义、习题解题方法及翻译-数学辞典

单词

Leibniz Harmonic Triangle

释义

Leibniz Harmonic Triangle

In the Leibniz harmonic triangle, each Fraction is the sum of numbers below it, with the initial and final entry on each row one over the correspondingentry in Pascal's Triangle. The Denominators in the second diagonals are 6, 12, 20,30, 42, 56, ... (Sloane's A007622).

See also Catalan's Triangle, Clark's Triangle, Euler's Triangle, Number Triangle,Pascal's Triangle, Seidel-Entringer-Arnold Triangle

References

Sloane, N. J. A. SequenceA007622/M4096in ``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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