Seq S is infinite, sorry; just extend it with a (new) term ending in —0001. And BTW, the start 0, 1, 2, 6, 7, 12 is not in the OEIS either. Best, É. Catapulté de mon aPhone
Le 18 juil. 2020 à 08:16, Éric Angelini <eric.angelini@skynet.be> a écrit :
Hello Math-fun, S = 1, 2, 4, 9,... If we want S to be the lexicographically earliest seq of distinct positive terms, we cannot have another start (like 1, 2, 3, X). The seq is finite — but how many terms can we plug in? I think we could extend S with 12: S = 1, 2, 4, 9, 12,... (the last 4 digits have sum 16 again — a square). Instead of 12 we could have extended S with 21, 30 or 999. This idea opens the way to a few variants, of course (sum k digits instead of 4, get a prime instead of a square), etc. Best, É. Catapulté de mon aPhone
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