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math.NT2002★ 21 cited
Bounds for the 3x+1 Problem using Difference Inequalities
Ilia Krasikov, Jeffrey C. Lagarias
We study difference inequality systems for the 3x+1 problem introduced by the first author in 1989. These systemes can be used to give lower bounds for the number of integers below…
math.NT2002
The EKG Sequence
J. C. Lagarias, E. M. Rains, N. J. A. Sloane
The EKG or electrocardiogram sequence is defined by a(1) = 1, a(2) = 2 and, for n >= 3, a(n) is the smallest natural number not already in the sequence with the property that gcd {…