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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.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	A sequence related to the Stern sequence./
Author:	Dennison, Melissa Ann.
Description:	90 p.
Notes:	Source: Dissertation Abstracts International, Volume: 72-06, Section: B, page: .
Contained By:	Dissertation Abstracts International72-06B.
Subject:	Applied Mathematics. -
Online resource:	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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040 $a UMI $c UMI
100 1 $a Dennison, Melissa Ann. $3 1683521
245 1 2 $a A sequence related to the Stern sequence.
300 $a 90 p.
500 $a Source: Dissertation Abstracts International, Volume: 72-06, Section: B, page: .
500 $a Advisers: Bruce C. Berndt; Bruce Reznick.
502 $a Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2010.
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.
590 $a School code: 0090.
650 4 $a Applied Mathematics. $3 1669109
650 4 $a Mathematics. $3 515831
690 $a 0364
690 $a 0405
710 2 $a University of Illinois at Urbana-Champaign. $3 626646
773 0 $t Dissertation Abstracts International $g 72-06B.
790 1 0 $a Berndt, Bruce C., $e advisor
790 1 0 $a Reznick, Bruce, $e advisor
790 $a 0090
791 $a Ph.D.
792 $a 2010
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3452162