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 A304123 Denominators of records low values of the ratio n*3^A006667(n)/2^A006666(n). 0
 1, 32, 2048, 8192, 2199023255552, 144115188075855872, 576460752303423488, 2305843009213693952 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS EXAMPLE For n=1 to 10 the ratios are 1, 1, 27/32, 1, 15/16, 27/32, 1701/2048, 1, 6561/8192, 15/16, so the low records are 1, 27/32, 1701/2048, 6561/8192, ... MATHEMATICA q=1; Collatz[n_]:=NestWhileList[If[EvenQ[#], #/2, 3 #+1]&, n, #>1&]; nn=5000; t={}; n=0; While[Length[t]1, if(n%2, n=3*n+1; t++, n>>=1; h++)); return([h, t]); lista(nn) = {m = 2; for (n=1, nn, v = ht(n); newm = n*3^v[2]/2^v[1]; if (newm < m, print1(denominator(newm), ", "); m = newm)); } \\ Michel Marcus, May 06 2018 CROSSREFS Cf. A127789 (for the indices where these records occur). Cf. A304119 (for the corresponding numerators). Cf. A006666, A006667. Sequence in context: A264015 A239646 A323540 * A291826 A302270 A301846 Adjacent sequences:  A304120 A304121 A304122 * A304124 A304125 A304126 KEYWORD nonn,frac,more AUTHOR Michel Lagneau, May 06 2018 STATUS approved

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Last modified May 28 15:04 EDT 2022. Contains 354115 sequences. (Running on oeis4.)