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 A329193 #15 Jun 02 2025 15:22:48 %S A329193 0,3,4,6,6,7,8,9,9,9,10,10,11,11,11,12,12,12,12,12,13,13,13,13,13,14, %T A329193 14,14,14,14,14,15,15,15,15,15,15,15,15,15,16,16,16,16,16,16,16,16,16, %U A329193 16,17,17,17,17,17,17,17,17,17,17,17,17,17,18,18,18,18,18,18,18,18,18,18,18 %N A329193 a(n) = floor(log_2(n^3)) = floor(3 log_2(n)). %C A329193 3*A000523(n) <= A000523(n^3) = a(n) <= A004257(n^3) <= A029837(n^3) <= 3*A029837(n) with equality for powers of 2 (A000079) and asymptotic equivalence as n -> oo. %o A329193 (PARI) apply( A329193(n)=exponent(n^3), [1..99]) \\ exponent(.) = logint(.,2) = log(.)\log(2) %Y A329193 Cf. A000578 (n^3), A000523 (floor log_2), A004257 (round log_2), A029837 (ceiling log_2), A329202 (log_2(n^2)). %K A329193 nonn %O A329193 1,2 %A A329193 _M. F. Hasler_, Nov 07 2019