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 A251792 Decimal expansion of a constant related to A251702. 1
 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, 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, 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 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Table of n, a(n) for n=1..105. FORMULA Equals lim_{n->infinity} A251702(n)^(1/3^n). EXAMPLE 1.1546796279605837888382808629570944052320556413000593142798453022385779... MATHEMATICA 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 *) PROG (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 CROSSREFS Cf. A086714, A251702. Sequence in context: A153451 A190143 A089687 * A159894 A011502 A347185 Adjacent sequences: A251789 A251790 A251791 * A251793 A251794 A251795 KEYWORD nonn,cons AUTHOR Vaclav Kotesovec and Jon E. Schoenfield, Dec 09 2014 STATUS approved

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Last modified October 4 10:09 EDT 2023. Contains 365874 sequences. (Running on oeis4.)