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 A292318 #8 Sep 15 2017 07:51:47
%S A292318 1,2,6,22,90,434,2442,15874,118722,1009586,9640866,102243682,
%T A292318 1191949122,15141785570,208068223458,3073613823778,48554040330210,
%U A292318 816547584905186,14562214993474914,274463503469613538,5450631032885614050,113749623991878727394
%N A292318 Expansion of Product_{k>=1} ((1 + k!*x^k)/(1 - k!*x^k)).
%F A292318 Convolution of A077365 and A265950.
%F A292318 a(n) ~ 2 * n! * (1 + 2/n + 6/n^2 + 28/n^3 + 162/n^4 + 1134/n^5 + 9368/n^6 + 89502/n^7 + 974338/n^8 + 11948360/n^9 + 163462518/n^10). - _Vaclav Kotesovec_, Sep 15 2017
%t A292318 nmax = 25; CoefficientList[Series[Product[(1 + k!*x^k)/(1 - k!*x^k), {k, 1, nmax}], {x, 0, nmax}], x] (* _Vaclav Kotesovec_, Sep 15 2017 *)
%Y A292318 Cf. A077365, A265950, A292319.
%K A292318 nonn
%O A292318 0,2
%A A292318 _Seiichi Manyama_, Sep 14 2017