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 A238466 #20 Jan 12 2024 07:49:03 %S A238466 1,9,171,4869,184851,8772309,499559571,33190014069,2520110222451, %T A238466 215270320769109,20431783142389971,2133148392099721269, %U A238466 242954208655633344051,29977118969127060357909,3983272698956314883956371,567091857051921058649396469 %N A238466 Generalized ordered Bell numbers Bo(9,n). %C A238466 Row 9 of array A094416, which has more information. %H A238466 Vincenzo Librandi, <a href="/A238466/b238466.txt">Table of n, a(n) for n = 0..250</a> %F A238466 E.g.f.: 1/(10 - 9*exp(x)). %F A238466 a(n) ~ n! / (10*(log(10/9))^(n+1)). - _Vaclav Kotesovec_, Mar 20 2014 %F A238466 a(0) = 1; a(n) = 9*a(n-1) - 10*Sum_{k=1..n-1} (-1)^k * binomial(n-1,k) * a(n-k). - _Seiichi Manyama_, Nov 17 2023 %t A238466 t=30; Range[0, t]! CoefficientList[Series[1/(10 - 9 Exp[x]), {x, 0, t}], x] %o A238466 (Magma) m:=20; R<x>:=LaurentSeriesRing(RationalField(), m); b:=Coefficients(R!(1/(10 - 9*Exp(x)))); [Factorial(n-1)*b[n]: n in [1..m]]; %Y A238466 Cf. A000670, A004123, A032033, A094417, A094418, A094419, A238464. %K A238466 nonn %O A238466 0,2 %A A238466 _Vincenzo Librandi_, Mar 18 2014