Binomial Transform of the Generalized Tribonacci Sequence
نویسندگان
چکیده
منابع مشابه
determinant of the hankel matrix with binomial entries
abstract in this thesis at first we comput the determinant of hankel matrix with enteries a_k (x)=?_(m=0)^k??((2k+2-m)¦(k-m)) x^m ? by using a new operator, ? and by writing and solving differential equation of order two at points x=2 and x=-2 . also we show that this determinant under k-binomial transformation is invariant.
15 صفحه اولA Tribonacci-Like Sequence of Composite Numbers
We find a new Tribonacci-like sequence of positive integers 〈x0, x1, x2, . . .〉 given by xn = xn−1 + xn−2 + xn−3 , n ≥ 3, and gcd(x0, x1, x2) = 1 that contains no prime numbers. We show that the sequence with initial values x0 = 151646890045, x1 = 836564809606, x2 = 942785024683 is the current record in terms of the number of digits.
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ژورنال
عنوان ژورنال: Asian Research Journal of Mathematics
سال: 2020
ISSN: 2456-477X
DOI: 10.9734/arjom/2020/v16i1030229