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文章基本信息

  • 标题:Some further results on Legendre numbers
  • 本地全文:下载
  • 作者:Paul W. Haggard
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:1988
  • 卷号:11
  • 期号:4
  • 页码:619-623
  • DOI:10.1155/S0161171288000754
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    The Legendre numbers, P n m , are expressed in terms of those numbers, P k m − 1 , in the previous column down to P n m and in terms of those, P k m , above but in the same column. Other results are given for numbers close to a given number. The limit of the quotient of two consecutive non-zero numbers in any one column is shown to be − 1 . Bounds for the Legendre numbers are described by circles centered at the origin. A connection between Legendre numbers and Pascal numbers is exhibited by expressing the Legendre numbers in terms of combinations.

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