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For example, if we require gaps of width ℓ = 100, 200 and 300 respectively, free of Niven numbers, here is a table showing the corresponding values of m and t, as well as the length
We count the total number of compositions and explore patterns involving the number of compositions with a fixed number of parts and the total number of occurrences of each
Theorem 3.1. Create a triangle of numbers so that the left diagonal consists of the elements of A , and any number off the left diagonal is k times the sum of the numbers to its
Of course, we can always break out of the search if the size of the list of numbers found plus the number of compatible numbers available is less than the best known size of the
By means of the method of coefficients, we establish a series of identities involving associated Stirling numbers, Bernoulli numbers, harmonic numbers, and the Cauchy numbers of
Lomadze, On the number of representations of numbers by positive quadratic forms with six variables.. (Russian)
Mirsalikhov, Theory of modular forms and the problem of finding formulas for the number of representations of numbers by positive quadratic forms in six variables..
The distribution of mimic numbers following a certain sequence of divisibility consid- ered from the series of natural numbers is an interesting study.. The mimic number of the
