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A sequence related to the Stern sequ...

Dennison, Melissa Ann.

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A sequence related to the Stern sequence.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	A sequence related to the Stern sequence./
作者:	Dennison, Melissa Ann.
面頁冊數:	90 p.
附註:	Source: Dissertation Abstracts International, Volume: 72-06, Section: B, page: .
Contained By:	Dissertation Abstracts International72-06B.
標題:	Applied Mathematics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3452162
ISBN:	9781124583402

A sequence related to the Stern sequence.
Dennison, Melissa Ann.

A sequence related to the Stern sequence. - 90 p.

Source: Dissertation Abstracts International, Volume: 72-06, Section: B, page: .

Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2010.

In this dissertation we define and study a two-parameter family of recursive sequences which we call the bow sequences. The general bow sequence is defined similarly to the Stern sequence, and many of the properties of the bow sequences are related to known properties of the Stern sequence. In particular, we derive the generating function for the general bow sequence, and give interpretations of the generating function for two basic cases. We also determine properties of the bow sequences modulo 2 and 3, and give conjectures for the behavior of the bow sequences modulo d for d ≥ 4. Finally, we discuss ideas for future research.

ISBN: 9781124583402Subjects--Topical Terms:

1669109
Applied Mathematics.

A sequence related to the Stern sequence.
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520 $a In this dissertation we define and study a two-parameter family of recursive sequences which we call the bow sequences. The general bow sequence is defined similarly to the Stern sequence, and many of the properties of the bow sequences are related to known properties of the Stern sequence. In particular, we derive the generating function for the general bow sequence, and give interpretations of the generating function for two basic cases. We also determine properties of the bow sequences modulo 2 and 3, and give conjectures for the behavior of the bow sequences modulo d for d ≥ 4. Finally, we discuss ideas for future research.
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