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 A375539 #7 Aug 20 2024 09:14:55 %S A375539 1,10,36540,636617813832,369693143251781030056182487680, %T A375539 418823586043433867400108534336212749520449347490879717721482735332151276111078704000 %N A375539 Denominator of the asymptotic mean over the positive integers of the maximum exponent in the prime factorization of the largest prime(n)-smooth divisor function. %C A375539 The numbers of digits of the terms are 1, 2, 5, 12, 30, 84, 215, 537, 1237, 2929, 6775, 15483, 35184, ... . %H A375539 Amiram Eldar, <a href="/A375539/b375539.txt">Table of n, a(n) for n = 1..8</a> %H A375539 <a href="/index/Eu#epf">Index entries for sequences computed from exponents in factorization of n</a>. %t A375539 d[k_, n_] := Product[1 - 1/Prime[i]^k, {i, 1, n}]; f[n_] := Sum[k * (d[k+1, n] - d[k, n]), {k, 1, Infinity}]; Denominator[Array[f, 6]] %Y A375539 Cf. A375538 (numerators). %K A375539 nonn,frac %O A375539 1,2 %A A375539 _Amiram Eldar_, Aug 19 2024