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 A139388 #7 Mar 26 2025 10:26:14 %S A139388 4,12,19,25,29,33,37,40,43,46,48,51,53,55,57,59,61,62,64,65,67,68,70, %T A139388 71,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,90,91,92,93,94, %U A139388 95,95,96,97,98,98,99,100,101,101,102,103,103,104,105,105,106,106,107,108 %N A139388 Nearest integer to (log(744+(12(n^2-1))^3)/Pi)^2. %C A139388 The well-known integers very close to e^(pi sqrt n) for n=A003173(m) are of the form (12(k^2-1))^3+744. This sequence gives the rounded n-value corresponding to a given k. %D A139388 See A138852 for links, references and more information. %t A139388 Table[Round[(Log[744+(12(n^2-1))^3]/Pi)^2],{n,70}] (* _Harvey P. Dale_, Mar 26 2025 *) %o A139388 (PARI) A139388(n)=round((log(744+(12*(n^2-1))^3)/Pi)^2) %Y A139388 Cf. A138851-A138852, A003173, A014708, A056581 and references therein. %K A139388 nonn,easy %O A139388 1,1 %A A139388 _M. F. Hasler_, Apr 17 2008