SOME ALGEBRAIC RELATIONS ON INTEGER SEQUENCES INVOLVING OBLONG AND BALANCING NUMBERS
ARS COMBINATORIA, cilt.128, ss.11-31, 2016 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 128
- Basım Tarihi: 2016
- Dergi Adı: ARS COMBINATORIA
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.11-31
- Bursa Uludağ Üniversitesi Adresli: Evet
Özet
Let k >= 0 be an integer. Oblong (pronic) numbers are numbers of the form O-k = k(k+1). In this work, we set a new integer sequence B = B-n(k) defined as B-0 = 0, B-1 = 1 and B-n = O-k Bn-1 - Bn-2 for n >= 2 and then derived some algebraic relations on it. Later, we give some new results on balancing numbers via oblong numbers.