8,12,17,22,27,32,37,42,47,52,...
I found this sequence as the answer to a silly (not for publication) math question I asked. It's kind of cool that it is almost arithmetic (except for the first term) and shares so many terms with the Davenport-Schinzel numbers. I spent two hours today (and some time yesterday) solving it which is kind of silly since it's basic enough that I'm sure someone else has done it before and hence completely unpublishable, but I have to allow myself to have some fun with math sometimes. I think if I didn't have the pressure or desire to publish, I would naturally tend towards spending many hours doing math each day. It's the need to always be working on what will 'get me ahead' in my field that keeps me away from math.
I'm assuming that an arithmetic-except-for-the-first-term sequence is not suitable for admission to Sloane's database of integer sequences. Or am I wrong if it arises in a pretty natural way? I mean maybe someone could still save some time by finding my sequence if they ran across the same question in something they needed to calculate, but maybe I'm being too optimistic here.
I'm assuming that an arithmetic-except-for-the-first-term sequence is not suitable for admission to Sloane's database of integer sequences. Or am I wrong if it arises in a pretty natural way? I mean maybe someone could still save some time by finding my sequence if they ran across the same question in something they needed to calculate, but maybe I'm being too optimistic here.