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 A101628 #11 Mar 01 2022 07:25:51 %S A101628 1,35,210,30030,12012,1293292,6466460,743642900,6692786100, %T A101628 6016814703900,12033629407800,63606326869800,63606326869800, %U A101628 784965679900201800,784965679900201800,258253708687166392200,19865669899012799400,31905469837808435400,31905469837808435400,114827785946272559004600 %N A101628 Denominator of partial sums of a certain series. %C A101628 The numerators are given in A101627. %F A101628 a(n)=denominator(s(n)) with s(n)=8*sum(1/((3*k-1)*k*(3*k+1)), k=1..n). %t A101628 Denominator[Accumulate[Table[8/(9k^3-k),{k,20}]]] (* _Harvey P. Dale_, Jul 17 2014 *) %o A101628 (PARI) a(n) = denominator(24*sum(k=1, n, 1/((3*k-1)*(3*k)*(3*k+1)))); \\ _Michel Marcus_, Mar 01 2022 %Y A101628 Cf. A101627 (numerators). %K A101628 nonn,frac,easy %O A101628 1,2 %A A101628 _Wolfdieter Lang_, Dec 23 2004 %E A101628 More terms from _Michel Marcus_, Mar 01 2022