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 A296224 Decimal expansion of the limiting ratio of terms in A296223. 2
 3, 6, 5, 1, 4, 4, 0, 0, 0, 7, 8, 8, 4, 2, 6, 3, 1, 0, 2, 8, 6, 0, 9, 0, 8, 8, 3, 8, 8, 3, 6, 6, 1, 1, 5, 6, 6, 2, 1, 0, 9, 9, 1, 7, 9, 0, 0, 6, 0, 5, 3, 2, 3, 8, 8, 7, 1, 7, 8, 0, 2, 9, 0, 3, 3, 0, 3, 1, 8, 2, 0, 0, 4, 6, 7, 1, 8, 8, 0, 6, 1, 5, 1, 3, 6, 5 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS A296223(n)/A296223(n-1)) -> 3.651440004884... See A296000 for a guide to related sequences and limiting ratios. LINKS MATHEMATICA mex[list_] := NestWhile[# + 1 &, 1, MemberQ[list, #] &]; a[0] = 1; a[1] = 3; b[0] = 2; a[n_] := a[n] = Sum[a[k]*b[n - k - 1], {k, 0, n - 1}] - 1; b[n_] := b[n] = mex[Flatten[Table[Join[{a[n]}, {a[i], b[i]}], {i, 0, n - 1}]]]; Table[a[n], {n, 0, 200}]  (* A296223 *) Table[b[n], {n, 0, 20}] N[Table[a[n]/a[n - 1], {n, 1, 200, 10}], 200]; RealDigits[Last[t], 10][[1]] (* A296224 *) CROSSREFS Cf. A296000, A296223. Sequence in context: A296226 A296222 A295999 * A135097 A154008 A144179 Adjacent sequences:  A296221 A296222 A296223 * A296225 A296226 A296227 KEYWORD nonn,easy,cons AUTHOR Clark Kimberling, Dec 10 2017 STATUS approved

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Last modified December 7 21:40 EST 2021. Contains 349589 sequences. (Running on oeis4.)