Yazar "Liptai, Kalman" seçeneğine göre listele

Listeleniyor 1 - 1 / 1
  • Küçük Resim Yok
    Öğe
    Factorial-like values in the balancing sequence
    (Univ Osijek, Dept Mathematics, 2018) Irmak, Nurettin; Liptai, Kalman; Szalay, Laszlo
    In this paper, we solve a few Diophantine equations linked to balancing numbers and factorials. The basic problem consists of solving the equation B-y = x! in positive integers x, y, which has only one nontrivial solution B-2 = 6 = 3!, as a direct consequence of the theorem of F. Luca [5]. A more difficult problem is to solve B-y = x(2)!/x(1)!, but we were able to handle it under some conditions. Two related problems are also studied.