This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A329194 #13 Jun 02 2025 15:22:54 %S A329194 0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6, %T A329194 6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7, %U A329194 7,7,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8 %N A329194 a(n) = floor(log_3(n^2)) = floor(2 log_3(n)). %F A329194 2*A062153(n) <= a(n) = floor(log_3(n^2)) = A062153(A000290(n)). %F A329194 This A329194 = A062153 o A000290. %t A329194 Table[Floor[Log[3,n^2]],{n,120}] (* _Harvey P. Dale_, May 04 2025 *) %o A329194 (PARI) apply( A329194(n)=logint(n^2,3), [1..99]) %Y A329194 Cf. A000290 (n^2), A062153 (log_3), A329202 (log_2(n^2)), A329193 (log_2(n^3)). %K A329194 nonn %O A329194 1,3 %A A329194 _M. F. Hasler_, Nov 07 2019