“Boustrophedon Transform”的概念、定义、习题解题方法及翻译-数学辞典

单词

Boustrophedon Transform

释义

Boustrophedon Transform

The boustrophedon (``ox-plowing'') transform b of a sequence a is given by

			(1)
			(2)

for

, where

is a Secant Number or Tangent Number defined by

(3)

The exponential generating functions of a and b are related by

(4)

where the exponential generating function is defined by

(5)

See also Alternating Permutation, Entringer Number, Secant Number, Seidel-Entringer-ArnoldTriangle, Tangent Number

References

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.

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