Emma Helmdach

On Numbers of the Form 5^k 2^m - 1 Generated from Mersenne Numbers

We present a numerical experiment in which the neighbour-sum transform T, defined as (T a)_n = a_{n-1} + a_{n+1}, is applied to Mersenne numbers M_n = 2^n - 1, followed by repeated division by powers of 2. After several iterations, a new class of numbers emerges: those of the for...