[seqfan] Re: A209270 vs A083698

Hans Havermann gladhobo at bell.net
Tue Dec 17 20:10:57 CET 2019


I haven't seen any movement on this issue other than M.F. Hasler editing A209270 with a "same as A083698" crossref.

I will point out that the Mathematica "Convergents" function of the initial terms yields {2, 3, 5/2, 13/5, 31/12, 137/53, 853/330, 6961/2693, 28697/11102, 179143/69305, ...}, so I can see that the numerators are in fact the prime terms of A072999 which (although A072999 isn't mentioned in A209270) reflects the wording of Benoit Cloitre's duplicate version.

Paul Hanna's earlier A083698 has: "Partial quotients of the continued fraction which has convergents with the least possible prime denominators (A072999)." In light of the aforementioned convergents list, I am not really understanding this. Is this simply a case of the word "denominators" being incorrect?


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