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 A346166 #31 Sep 28 2021 09:07:16 %S A346166 1,3,10,22,38,59,84,114,149,188,231,280,333,390,452,519,591,667,747, %T A346166 832,922,1017,1116,1219,1327,1440,1558,1680,1806,1938,2074,2214,2359, %U A346166 2509,2663,2822,2985,3153,3326,3503,3685,3872,4063,4259,4459,4664,4873,5088 %N A346166 a(n) is the smallest integer k >= 0 such that cosh(k) > 10^(n^2). %F A346166 a(n) = 1 + floor(arccosh(10^(n^2))). - _Jon E. Schoenfield_, Jul 08 2021 %e A346166 For n = 4, a(4) = 38 because 38 is the smallest positive integer k such that cosh(k) > 10^(16): cosh(38) = 1.59...*10^16, which is greater than 10^(4^2), i.e., 10^16. %t A346166 a[0] = 1; a[n_] := Ceiling @ ArcCosh[10^(n^2)]; Array[a, 50, 0] (* _Amiram Eldar_, Jul 12 2021 *) %o A346166 (PARI) a(n) = 1 + floor(acosh(10^(n^2))); \\ _Michel Marcus_, Aug 24 2021 %K A346166 nonn,less %O A346166 0,2 %A A346166 _Treanungkur Mal_, Jul 08 2021 %E A346166 More terms from _Jinyuan Wang_, Jul 08 2021