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 A238465 #24 Jan 12 2024 07:48:58 %S A238465 1,8,136,3464,117640,4993928,254396296,15119104904,1026912225160, %T A238465 78468091562888,6662087721342856,622186077361470344, %U A238465 63389713864392140680,6996476832548305415048,831619554631233264449416,105909083171031626820475784 %N A238465 Generalized ordered Bell numbers Bo(8,n). %C A238465 Row 8 of array A094416, which has more information. %H A238465 Vincenzo Librandi, <a href="/A238465/b238465.txt">Table of n, a(n) for n = 0..250</a> %F A238465 E.g.f.: 1/(9 - 8*exp(x)). %F A238465 a(n) ~ n! / (9*(log(9/8))^(n+1)). - _Vaclav Kotesovec_, Mar 20 2014 %F A238465 a(0) = 1; a(n) = 8*a(n-1) - 9*Sum_{k=1..n-1} (-1)^k * binomial(n-1,k) * a(n-k). - _Seiichi Manyama_, Nov 17 2023 %t A238465 t = 30; Range[0, t]! CoefficientList[Series[1/(9 - 8 Exp[x]), {x, 0, t}], x] %o A238465 (Magma) m:=20; R<x>:=LaurentSeriesRing(RationalField(), m); b:=Coefficients(R!(1/(9 - 8*Exp(x)))); [Factorial(n-1)*b[n]: n in [1..m]]; %Y A238465 Cf. A000670, A004123, A032033, A094417, A094418, A094419, A238464. %K A238465 nonn %O A238465 0,2 %A A238465 _Vincenzo Librandi_, Mar 18 2014