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 A185387 #47 Feb 11 2025 08:15:50
%S A185387 1,2,2,3,7,25,121,721,5041,40321,362881,3628801,39916801,479001601,
%T A185387 6227020801,87178291201,1307674368001,20922789888001,355687428096001,
%U A185387 6402373705728001,121645100408832001,2432902008176640001,51090942171709440001,1124000727777607680001,25852016738884976640001
%N A185387 Expansion of e.g.f. exp(x)+log(1/(1-x)).
%C A185387 Apart from the offset, the same as A038507. - _R. J. Mathar_, Jun 07 2011
%H A185387 Vincenzo Librandi, <a href="/A185387/b185387.txt">Table of n, a(n) for n = 0..200</a>
%F A185387 a(n) = (n-1)!+1, n>0, a(0)=1.
%F A185387 From _Sergei N. Gladkovskii_, Jun 14 2012: (Start)
%F A185387 G.f.: 1 + x*G(0) where G(k) = 1 + k!/(1 - x/(x + (k!)/G(k+1))); (continued fraction).
%F A185387 E.g.f.: 1 + x*G(0) where G(k) = 1 + k!/(1 - x/(x + (k+2)*(k!)/G(k+1))); (continued fraction).
%F A185387 (End).
%t A185387 Join[{1},Range[0,20]!+1] (* _Harvey P. Dale_, Jun 28 2011 *)
%o A185387 (PARI) Vec(serlaplace(exp(x)+log(1/(1-x)))) \\ _Joerg Arndt_, Mar 03 2011
%o A185387 (Magma) [1] cat [(1+Factorial(n-1)): n in [1..20]]; // _Vincenzo Librandi_, Oct 04 2011
%Y A185387 Cf. A038507.
%K A185387 nonn
%O A185387 0,2
%A A185387 _Vladimir Kruchinin_, Feb 21 2011