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 A296006 Decimal expansion of the limiting ratio of terms in A296005. 3
 3, 1, 1, 4, 9, 8, 6, 4, 4, 7, 3, 9, 0, 3, 0, 2, 2, 4, 0, 2, 1, 1, 6, 2, 7, 0, 8, 7, 5, 5, 5, 4, 0, 3, 2, 8, 8, 3, 6, 0, 0, 9, 2, 9, 4, 5, 6, 0, 5, 9, 4, 2, 0, 4, 1, 3, 8, 8, 0, 8, 6, 4, 2, 5, 5, 2, 0, 9, 6, 6, 0, 7, 0, 5, 7, 3, 1, 7, 7, 4, 7, 9, 9, 6, 6, 2 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS A296005(n)/A296005(n-1)) -> 3.114986447390302... See A296000 for a guide to related sequences and limiting ratios. LINKS MATHEMATICA mex[list_] := NestWhile[# + 1 &, 1, MemberQ[list, #] &]; a[0] = 2; a[1] = 3; b[0] = 1; a[n_] := a[n] = Sum[a[k]*b[n - k - 1], {k, 0, n - 1}]; b[n_] := b[n] = mex[Flatten[Table[Join[{a[n]}, {a[i], b[i]}], {i, 0, n - 1}]]]; Table[a[n], {n, 0, 100}];  (* A296005 *) t = N[Table[a[n]/a[n - 1], {n, 1, 500, 100}], 200] Take[RealDigits[Last[t], 10][[1]], 100]  (* A296006 *) CROSSREFS Cf. A296000, A296005. Sequence in context: A263950 A160870 A025255 * A245397 A294316 A294761 Adjacent sequences:  A296003 A296004 A296005 * A296007 A296008 A296009 KEYWORD nonn,easy,cons AUTHOR Clark Kimberling, Dec 07 2017 STATUS approved

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Last modified May 25 03:50 EDT 2019. Contains 323539 sequences. (Running on oeis4.)