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Numbers k where records occurred in expression Log[A147299(k)]/Log[k] k=2,3,4,...
1

%I #5 Dec 19 2012 11:51:29

%S 2,3,6,7,14,15,22,30,42,62,66,70,78,102,114,158,166,182,186,210,222,

%T 230,255,258,282,318,330,402,430,438,462,470,474,494,498,510,570,582,

%U 598,690,710,786,798,822,870,906,930,942,1002,1038,1074,1110,1122,1146,1158

%N Numbers k where records occurred in expression Log[A147299(k)]/Log[k] k=2,3,4,...

%C Limit k->Infinity Log[A147299(k)]/Log[k] = 2.

%C Values m for which records occured see A147304.

%t logmin = 10^10; logmax = 0; aa = {}; bb = {}; cc = {}; dd = {}; ee = {}; ff = {}; hh = {}; ii = {}; jj = {}; Do[min = 10^100; max = 0; Do[If[GCD[m, n, n - m] == 1, s = m n (n - m); k = FactorInteger[s]; g = 1; Do[g = g k[[p]][[1]], {p, 1, Length[k]}]; If[g > max, max = g; mmax = m]; If[g < min, min = g; mmin = m]], {m, 1, n - 1}]; AppendTo[aa, min]; If[(Log[n]/Log[min]) > logmax, logmax = (Log[n]/Log[min]); AppendTo[ee, {N[logmax], n, mmin, min, mmax, max}]; AppendTo[ff, n]]; If[(Log[n]/Log[min]) < logmin, logmin = (Log[n]/Log[min]); AppendTo[hh, {N[logmin], n, mmin, min, mmax, max}]; AppendTo[ii, n]]; AppendTo[bb, max]; AppendTo[dd, mmin], {n, 2, 1200}]; ii (*Artur Jasinski*)

%Y A147298-A147307

%K nonn

%O 1,1

%A _Artur Jasinski_, Nov 06 2008