9 citations · 16 across the 10 of their papers we have counts for
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Repdigits as products of consecutive balancing or Lucas-balancing numbers
Sai Gopal Rayaguru, Gopal Krishna Panda
Repdigits are natural numbers formed by the repetition of a single digit. In this paper, we explore the presence of repdigits in the product of consecutive balancing or Lucas-balan…
Several properties of hypergeometric Bernoulli numbers
Miho Aoki, Takao Komatsu, Gopal Krishna Panda
In this paper, we give the determinant expressions of the hypergeometric Bernoulli numbers, and some relations between the hypergeometric and the classical Bernoulli numbers which…
Repdigits in Euler functions of Pell and associated pell numbers
Manasi Kumari Sahukar, G. K. Panda
A natural number is called a repdigit if all its digits are same. In this paper, we prove that Euler totient function of no Pell number is a repdigit with at least two digits.…
On the Horadam symbol elements
Sai Gopal Rayaguru, Diana Savin, Gopal Krishna Panda
Horadam symbol elemnts are introduced. Certain properties of these elements are explored. Some well known identities such as Catalan identity, Cassini formula and d'Ocagne's identi…