期刊论文详细信息
Applicable Analysis and Discrete Mathematics
COMPOSITIONS AS NON-ALTERNATING SEQUENCES OF PARTITIONS
article
Aubrey Blecher1  Charlotte Brennan2  Toufik Mansour3 
[1] School of Mathematics, University of the Witwatersrand, Private Bag 3;The John Knopfmacher Centre for Applicable Analysis and Number Theory, School of Mathematics, University of the Witwatersrand, Private Bag 3;Department of Mathematics, Univer
关键词: Compositions;    partitions;    generating functions;   
DOI  :  10.2298/AADM130515008B
学科分类:社会科学、人文和艺术(综合)
来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering
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【 摘 要 】

Compositions are conceptualized as non alternating sequences of blocks ofnon-decreasing and strictly decreasing partitions. We find the generatingfunction F(x, y, q) where x marks the size of the composition, y the numberof parts and q the number of such partition blocks minus 1. We form theseblocks starting on the left-hand-side of the composition and maximizing thesize of each block. We also find the generating function for the total numberof such blocks.

【 授权许可】

Unknown   

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