16 citations · 19 across the 2 of their papers we have counts for
2 papers
math.CO2008★ 3 cited
Bounds on the frequency of 1 in the Kolakoski word
Elizabeth J. Kupin, Eric S. Rowland
We use a method of Goulden and Jackson to bound freq_1(K), the limiting frequency of 1 in the Kolakoski word K. We prove that |freq_1(K) - 1/2| <= 17/762, assuming the limit exists…
math.NT2007★ 16 cited
A natural prime-generating recurrence
Eric S. Rowland
For the sequence defined by a(n) = a(n-1) + gcd(n, a(n-1)) with a(1) = 7 we prove that a(n) - a(n-1) takes on only 1s and primes, making this recurrence a rare "naturally occurring…