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On the Number of Partitions of { 1, …, n} into Two Sets of Equal Cardinalities and Equal Sums

Published online by Cambridge University Press:  20 November 2018

Helmut Prodinger
Helmut Prodinger*
Affiliation:
Institut Für Mathematische Logik und Formale Sprachen, TU Wlen 1040 Wien Guβhausstraβe 27-29, Austria
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Abstract

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Let A(n) be the number of partitions of { 1 , … , n} into two sets A, B of cardinality n/2 such that . Then there is the asymptotic result

Keywords

05A17
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 25 , Issue 2 , 01 June 1982 , pp. 238 - 241
Copyright
Copyright © Canadian Mathematical Society 1982

References

1. van Lint, J. H., Representations of 0 as σk=-N N ɛkk, Proc. A.M.S. 18 (1967), 182-184.Google Scholar
2. Uspensky, J. V., "Introduction to Mathematical Probability", McGraw-Hill, New York (1937).Google Scholar