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 A082427 #28 Apr 27 2025 11:50:40
%S A082427 1,0,1,6,38,274,2238,20462,207178,2301978,27853934,364633318,
%T A082427 5135252562,77423807858,1244311197718,21236244441054,383579665216538,
%U A082427 7310577148832842,146617686151591998,3086688129507199958,68061473255633759074,1568654907415559018658
%N A082427 a(1)=1, a(n) = n * (Sum_{k=1..n-1} a(k)) - 2.
%F A082427 a(n) = floor(n*(11/2 - 2*e)*n!) for n >= 2.
%F A082427 a(n) = (n+2)*a(n-1) - (n-1)*a(n-2) for n>3. - _Gary Detlefs_, Jun 30 2024
%F A082427 From _Seiichi Manyama_, Apr 27 2025: (Start)
%F A082427 E.g.f.: 2 + 3*x/2 + (11*x/2 - 2*exp(x))/(1-x)^2.
%F A082427 a(n) = 11*n/2 * n! - 2 * Sum_{k=0..n} (k+1)! * binomial(n,k) for n > 1.
%F A082427 a(n) = (n^2 * a(n-1) + 2)/(n-1) for n > 2. (End)
%t A082427 Join[{1},Table[Floor[n(11/2-2E)n!],{n,2,20}]] (* _Harvey P. Dale_, May 09 2013 *)
%Y A082427 Cf. A007808, A074143, A082425, A082428, A082430, A383436, A383437.
%Y A082427 Cf. A001339.
%K A082427 nonn
%O A082427 1,4
%A A082427 _Benoit Cloitre_, Apr 24 2003
%E A082427 Offset changed to 1 by _Georg Fischer_, May 15 2024