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 A316084 #20 Jun 18 2019 06:51:32 %S A316084 1,1,4,17,92,566,4156,34023,314348,3195658,35703996,433259908, %T A316084 5687955724,80248240822,1211781628060,19496367748659,333041104402860, %U A316084 6019720779293770,114794574818830716,2303327555284622304,48509766568956367372,1069982619999485015070 %N A316084 Product_{k>=1} 1/(1 - a(k)*x^k) = Sum_{k>=0} k!*x^k. %H A316084 Seiichi Manyama, <a href="/A316084/b316084.txt">Table of n, a(n) for n = 1..449</a> %F A316084 a(n) ~ n! * (1 - 1/n - 1/n^2 - 4/n^3 - 23/n^4 - 171/n^5 - 1542/n^6 - 16241/n^7 - 194973/n^8 - 2622610/n^9 - 39027573/n^10 - ...), for coefficients see A113869. - _Vaclav Kotesovec_, Jun 18 2019 %F A316084 a(2*n-1) = A158094(2*n-1). - _Vaclav Kotesovec_, Jun 18 2019 %e A316084 1/((1-x)*(1-x^2)*(1-4*x^3)*(1-17*x^4)* ... ) = 1 + x + 2*x^2 + 6*x^3 + 24*x^4 + ... . %Y A316084 Cf. A000142, A113869, A158094. %K A316084 nonn %O A316084 1,3 %A A316084 _Seiichi Manyama_, Jun 23 2018