A304123 Denominators of records low values of the ratio n*3^A006667(n)/2^A006666(n).
1, 32, 2048, 8192, 2199023255552, 144115188075855872, 576460752303423488, 2305843009213693952
Offset: 1
Examples
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, ...
Crossrefs
Programs
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Mathematica
q=1;Collatz[n_]:=NestWhileList[If[EvenQ[#],#/2,3 #+1]&,n,#>1&];nn=5000;t={};n=0;While[Length[t] -
PARI
ht(n) = my(h, t); while(n>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