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 A251792 #14 Sep 08 2022 08:46:10 %S A251792 1,1,5,4,6,7,9,6,2,7,9,6,0,5,8,3,7,8,8,8,3,8,2,8,0,8,6,2,9,5,7,0,9,4, %T A251792 4,0,5,2,3,2,0,5,5,6,4,1,3,0,0,0,5,9,3,1,4,2,7,9,8,4,5,3,0,2,2,3,8,5, %U A251792 7,7,9,1,0,4,1,1,6,4,1,9,2,5,7,9,7,3,6,8,9,1,4,9,5,4,6,1,2,6,9,6,2,7,5,3,3 %N A251792 Decimal expansion of a constant related to A251702. %F A251792 Equals lim_{n->infinity} A251702(n)^(1/3^n). %e A251792 1.1546796279605837888382808629570944052320556413000593142798453022385779... %t A251792 exact = 20; terms = 200; b = ConstantArray[0, terms]; b[[1]] = N[Log[5], 100]; Do[b[[n]] = b[[n - 1]] + If[n > exact, b[[n - 1]], Log[Exp[b[[n - 1]]] - 1]] + If[n > exact, b[[n - 1]], Log[Exp[b[[n - 1]]] - 2]] - Log[6], {n, 2, terms}]; Do[Print[Exp[b[[n]]/3^n]], {n, 1, Length[b]}] (* after _Jon E. Schoenfield_ *) %o A251792 (Magma) nMax:=160; nExactMax:=20; DP:=100; R:=RealField(DP); SetDefaultRealField(R); logA:=[Log(5.0)]; for n in [2..nMax] do logAprev:=logA[n-1]; if n le nExactMax then Aprev:=Exp(logAprev); logA[n]:=logAprev + Log(Aprev-1) + Log(Aprev-2) - Log(6); else logA[n]:=3*logAprev - Log(6); end if; t:=Exp((1/3^n)*logA[n]); n, ChangePrecision(t,72); end for; // _Jon E. Schoenfield_, Dec 09 2014 %Y A251792 Cf. A086714, A251702. %K A251792 nonn,cons %O A251792 1,3 %A A251792 _Vaclav Kotesovec_ and _Jon E. Schoenfield_, Dec 09 2014