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单词 Seidel-Entringer-Arnold Triangle
释义

Seidel-Entringer-Arnold Triangle

The Number Triangle consisting of the Entringer Numbers arranged in ``ox-plowing'' order,

giving

See also Bell Number, Boustrophedon Transform, Clark's Triangle, Entringer Number, Euler'sTriangle, Leibniz Harmonic Triangle, Number Triangle, Pascal's Triangle


References

Arnold, V. I. ``Bernoulli-Euler Updown Numbers Associated with Function Singularities, Their Combinatorics, and Arithmetics.'' Duke Math. J. 63, 537-555, 1991.

Arnold, V. I. ``Snake Calculus and Combinatorics of Bernoulli, Euler, and Springer Numbers for Coxeter Groups.'' Russian Math. Surveys 47, 3-45, 1992.

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

Dumont, D. ``Further Triangles of Seidel-Arnold Type and Continued Fractions Related to Euler and Springer Numbers.'' Adv. Appl. Math. 16, 275-296, 1995.

Entringer, R. C. ``A Combinatorial Interpretation of the Euler and Bernoulli Numbers.'' Nieuw. Arch. Wisk. 14, 241-246, 1966.

Millar, J.; Sloane, N. J. A.; and Young, N. E. ``A New Operation on Sequences: The Boustrophedon Transform.'' J. Combin. Th. Ser. A 76, 44-54, 1996.

Seidel, I. ``Über eine einfache Entstehungsweise der Bernoullischen Zahlen und einiger verwandten Reihen.'' Sitzungsber. Münch. Akad. 4, 157-187, 1877.


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