Some further results on Legendre numbers

Paul W. Haggard

International Journal of Mathematics and Mathematical Sciences, 1988, vol. 11, 1-5

Abstract:

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.

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:945974

DOI: 10.1155/S0161171288000754

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