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 A334604 #19 May 09 2020 00:26:17 %S A334604 1,32,7776,248832,777600000,777600000,13069123200000,418211942400000, %T A334604 101625502003200000,101625502003200000,16366888723117363200000, %U A334604 16366888723117363200000,6076911214672415134617600000 %N A334604 Denominator of Sum_{k=1..n} (-1)^(k+1)/k^5. %C A334604 Lim_{n -> infinity} A136676(n)/a(n) = A267316 = (15/16)*A013663. %e A334604 The first few fractions are 1, 31/32, 7565/7776, 241837/248832, 755989457/777600000, 755889457/777600000, ... = A136676/A334604. %t A334604 Denominator @ Accumulate[Table[(-1)^(k + 1)/k^5, {k, 1, 13}]] (* _Amiram Eldar_, May 08 2020 *) %o A334604 (PARI) a(n) = denominator(sum(k=1, n, (-1)^(k+1)/k^5)); \\ _Michel Marcus_, May 07 2020 %Y A334604 Cf. A013663, A136676 (numerators), A267316. %K A334604 nonn %O A334604 1,2 %A A334604 _Petros Hadjicostas_, May 07 2020