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Numbers k >= 2 such that if 1 <= j < k then fractional part of log k > fractional part of log j.
4

%I #14 Jul 04 2021 13:03:03

%S 2,6,7,20,148,403,1096,2980,8101,8102,8103,59874,442413,1202604,

%T 3269017,8886110,24154952,65659968,65659969,485165195,1318815734,

%U 3584912845,3584912846,9744803446,72004899336,72004899337,195729609428,532048240600

%N Numbers k >= 2 such that if 1 <= j < k then fractional part of log k > fractional part of log j.

%o (PARI) lista(n) = {last = frac(log(1)); for (k=1, n, new = frac(log(k)); if (new > last, print1 (k, ", "); last = new;););} \\ _Michel Marcus_, Mar 21 2013

%Y Cf. A004790.

%K nonn

%O 1,1

%A _Clark Kimberling_

%E More terms from _David W. Wilson_