cp's OEIS Frontend

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.

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.

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%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