ON TRIANGLES WITH COORDINATES OF VERTICES FROM THE TERMS OF THE SEQUENCES {U-kn} AND {V-kn}

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ÖMÜR N., SOYDAN G., TÜRKER ULUTAŞ Y., Dogru Y.

RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI, vol.24, no.542, pp.15-27, 2020 (ESCI, Scopus)

• Publication Type: Article / Article
• Volume: 24 Issue: 542
• Publication Date: 2020
• Doi Number: 10.21857/ydkx2cwq49
• Journal Name: RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI
• Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
• Page Numbers: pp.15-27
• Keywords: Second order sequence, triangle, orthologic, paralogic, homologic
• Bursa Uludag University Affiliated: Yes

Abstract

In this paper, we determine some results of the triangles with coordinates of vertices involving the terms of the sequences {U-kn} and {V-kn} where U-kn are terms of a second order recurrent sequence and V-kn are terms in the companion sequence for odd positive integer k, generalizing works of Cerin. For example, the cotangent of the Brocard angle of the triangle Delta(kn) is