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 A308058 Lexicographically earliest sequence of positive terms such that for any distinct m and n, a(m) * a(m+1)^2 <> a(n) * a(n+1)^2. 3
 1, 1, 2, 1, 3, 1, 4, 3, 2, 2, 3, 3, 4, 4, 5, 1, 5, 2, 4, 6, 1, 7, 1, 9, 5, 3, 5, 4, 7, 2, 5, 5, 6, 2, 6, 3, 6, 4, 8, 4, 9, 7, 3, 7, 4, 10, 1, 11, 1, 13, 1, 17, 1, 19, 1, 22, 1, 23, 1, 24, 3, 8, 5, 7, 5, 8, 6, 5, 9, 9, 10, 2, 7, 6, 7, 7, 8, 7, 9, 11, 2, 9, 12 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS This sequence has similarities with A088178; here we consider a(n)*a(n+1)^2, there we consider a(n)*a(n+1). LINKS Rémy Sigrist, Table of n, a(n) for n = 1..10000 EXAMPLE The first terms, alongside a(n)*a(n+1)^2, are: n a(n) a(n)*a(n+1)^2 -- ---- ------------- 1 1 1 2 1 4 3 2 2 4 1 9 5 3 3 6 1 16 7 4 36 8 3 12 9 2 8 10 2 18 PROG (PARI) s=0; v=1; for(n=1, 83, print1(v", "); for (w=1, oo, if (!bittest(s, x=v*w^2), s+=2^x; v=w; break))) CROSSREFS See A308057 for an additive variant. Cf. A088178. Sequence in context: A020653 A094522 A233204 * A118487 A241006 A249148 Adjacent sequences: A308055 A308056 A308057 * A308059 A308060 A308061 KEYWORD nonn AUTHOR Rémy Sigrist, May 10 2019 STATUS approved

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Last modified February 21 06:16 EST 2024. Contains 370219 sequences. (Running on oeis4.)