User talk:Carl R. White

Changing the starting-offset of A179016 ?

To anybody whom it may concern: I'm thinking about changing the starting offset of A179016 from 1 to 0, so that a(0)=0, a(1)=1, a(2)=3, etc. That way it would match with closely related A086876, A213708 and A173601 (see e.g. A218603). A173601 also needs additional prepended a(0)=0, but that doesn't change the indexing of the rest of the terms in A173601. Currently there are 33 sequences that refer to A179016, (of which 28 submitted by me recently, and also most of the rest are comments left by me), and fortunately, most of them leave indexing open, so I would need to edit just a few (i.e. less than dozen, I hope) sequences (and re-upload the recomputed b-files if the indexing changes in any of the derived sequences). After that work were done, it would be much nicer to form further derived sequences. Otherwise, these additional +1's and -1's seem to accumulate and make things messy. (Also I would leave A213710 as it currently is, and submit another sequence whose terms are one less.) What do you think? — Antti Karttunen 12:14, 5 November 2012 (UTC)

And after a quick Google-search, it seems that neither has anybody yet published a paper about it (although I think it might merit it!). — Antti Karttunen 12:34, 5 November 2012 (UTC)

Also, it is more a function of n than a list. Namely, A179016(n) tells in what number we land to when we have climbed n steps upward (staying on that infinite beanstalk trunk, not losing our way into any of the dead-end side trees ("tendrils")), starting from the zero, which is at the root. — Antti Karttunen 13:37, 5 November 2012 (UTC)

OK with me! Neil Sloane, Nov 05 2012

Little late to the party, and the change has already been made, but no retroactive objections from me. Antti has compiled a great deal of work on this, at least based on our correspondence, and he should be considered the authority on this particular sequence and its brethren. Carl R. White 19:14, 5 November 2012 (UTC)

Sorry for my impatience, but I had to get to work on them today morning. Now it's already 1:23am here. Still left some offset changes for tomorrow (mainly A218544-A218545, not sure about what to do with A218546-A218548) plus A218603-A218604. Then... I get to some further derived sequences, after this necessary groundwork. It's very, very "generative" sequence. And haven't got yet any deep insight (apart from vague guesses) more than what Carl has told me. — Antti Karttunen 23:23, 5 November 2012 (UTC)