Not sure about sorting all numbers in terms of interest - but clearly the *most* interesting have to be 0 and 1 ;) On 5 Jan 2014, at 23:07, W. Edwin Clark wrote:
A place to start with such investigations is perhaps the famous paper on "Sloane's gap" ( http://arxiv.org/pdf/1101.4470.pdf ) which discusses the distribution of N(n) = the number of occurrences of n in the OEIS.
On Sun, Jan 5, 2014 at 5:46 PM, James Propp <jamespropp@gmail.com> wrote:
What is the smallest value of n such that n+1 appears in more of the increasing sequences in the OEIS than n does?
The reason I want to restrict attention to increasing sequences in the OEIS is that these correspond to interesting subsets of the positive integers. I suppose if anyone wants to answer my question with the word "increasing" omitted, I'd be interested in that too. Conjecture: The n that you get is the same for both versions of my question. Refined conjecture: in both cases, n is 11.
Jim Propp