Applications of the A.G.M. of Gauss: Some New Properties of the Catalan-Larcombe-French Sequence

机译：A.G.M.的应用高斯：加泰罗斯语 - 法语序列的一些新属性

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The arithmetic-geometric mean, associated with Gauss, is used to develop further properties of the Catalan-Larcombe-French sequence. An ordinary generating function is found, together with a new representation of its general term as a binomial coefficient (and corresponding hypergeometric) sum. Finite subsequences of Catalan-Larcombe-French numbers are available from the iterative process which defines the arithmetic-geometric mean, and it is shown how these are obtained.

机译：与高斯相关联的算术几何平均值用于开发加泰罗尼亚语 - Larcombe-French序列的进一步性质。找到普通的生成功能，以及其一般术语的新表示作为二项式系数（和相应的超几何）总和。 Catalan-Larcombe-Fromal号码的有限子项可从迭代过程中获取定义算术几何平均值，并显示了如何获得这些过程。

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《Southeastern International Conference on Combinatorics, Graph Theory, and Computing》|2003年||共12页
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A. Prazer Jarvis; Peter J. Larcombe; David R. French;
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中图分类组合数学（组合学）;
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Applications of the A.G.M. of Gauss: Some New Properties of the Catalan-Larcombe-French Sequence

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