%I #12 Nov 01 2024 02:02:07
%S 0,0,1,1,2,3,3,4,4,5,5,6,6,6,7,7,8,8,8,8,9,9,9,10,10,10,10,11,11,11,
%T 11,12,12,12,12,12,13,13,13,13,13,13,14,14,14,14,14,14,15,15,15,15,15,
%U 15,16,16,16,16,16,16,16,17,17,17,17,17,17,17,17,18,18
%N Integer part of log(n)^2.
%C Limit_{n->oo} Prime(n) = n*log(n).
%C Limit_{n->oo} PrimePi(n) = n/log(n).
%C Then ratio lengths are:
%C Limit_{n->oo} Prime(n)/PrimePi(n) = n*log(n)/(n/log(n)) = log(n)^2.
%F a(n) = floor(log(n)^2).
%t Table[Floor[Log[n]^2], {n, 1, 100}]
%Y Cf. A111114.
%K nonn,easy
%O 0,5
%A _Roger L. Bagula_, Mar 21 2013