Browsing by Author "TEKCAN, AHMET"
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Publication Almost balancing, triangular and square triangular numbers(Bulgarian Acad Science, 2019-01-01) Tekcan, Ahmet; TEKCAN, AHMET; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.; AAH-8518-2021In this work, we derive some new algebraic relations on all almost balancing numbers (of first and second type) and triangular (and also square triangular) numbers.Publication Balancing, pell and square triangular functions(Univ Miskolc Inst Math, 2015-01-01) Tekcan, Ahmet; Tayat, Merve; Olajos, Peter; TEKCAN, AHMET; Tayat, Merve; AAH-8518-2021In this work, we derive some functions on balancing, cobalancing, Lucas-balancing, Lucas-cobalancing, Pell, Pell-Lucas and square triangular numbers. At the end of this article we investigated common values of combinatorial numbers and Lucas-balancing numbers.Publication k-almost cobalancing numbers(Centre Environment Social & Economic Research Publ-ceser, 2020-01-01) Tekcan, Ahmet; TEKCAN, AHMET; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; AAH-8518-2021The general terms of k-almost cobalancing numbers and k-almost Lucas-cobalancing numbers are determined for an integer k >= 1.Publication K- Almost balancing numbers(Centre Environment Social & Economic Research Publication-ceser, 2021-01-01) Tekcan, Ahmet; TEKCAN, AHMET; Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Bölümü.; AAH-8518-2021In this work, we determine the general terms of k-almost balancing numbers and k-almost Lucas-balancing numbers of first and second type in terms of balancing and Lucas-balancing numbers for some integer k >= 1.Publication On k-balancing numbers(Bulgarian Acad Science, 2017-01-01) Özkoç, Arzu; Tekcan, Ahmet; TEKCAN, AHMET; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; AAH-8518-2021In this work, we consider some algebraic properties of k-balancing numbers. We deduce some formulas for the greatest common divisor of k-balancing numbers, divisibility properties of k-balancing numbers, sums of k-balancing numbers and simple continued fraction expansion of k-balancing numbers.Publication T-cobalancing numbers and T-cobalancers(Bulgarian Acad Science, 2020-01-01) Tekcan, Ahmet; Erdem, Alper; TEKCAN, AHMET; Erdem, Alper; Bursa Uludağ Üniversitesi/Fen Fakültesi/Matematik Bölümü; 0000-0001-8429-0612; AAH-8518-2021; ABH-2397-2021; ABH-2894-2021; ITW-1624-2023In this work, we determine the general terms of t-cobalancers, t-cobalancing numbers and Lucas t-cobalancing numbers by solving the Pell equation 2x(2) - y(2) = 2t(2) - 1 for some fixed integer t >= 1.Publication The integer sequence B = Bn(P, Q) with parameters P and Q(Charles Babbage Res Ctr, 2015-07-01) Koçapınar, Canan; Özkoç, Arzu; Tekcan, Ahmet; TEKCAN, AHMET; Uludağ Üniversitesi/Mühendislik Fakültesi/Matematik Bölümü; AAH-8518-2021In this work, we first prove that every prime number p equivalent to 1 (mod 4) can be written of the form P-2-4Q with two positive integers P and Q, and then we define the sequence B-n(P, Q) to be B-0 = 2, B-1 = P and B-n = P Bn-1 - QB(n-2) for n >= 2 and derive some algebraic identities on it. Also we formulate the limit of cross ratio for four consecutive numbers B-n, Bn+1, Bn+2 and Bn+3.