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A296218 Decimal expansion of the limiting ratio of terms in A296217. 3
4, 3, 1, 4, 1, 8, 6, 9, 6, 3, 4, 0, 2, 6, 0, 0, 1, 2, 6, 3, 9, 6, 2, 5, 4, 6, 9, 6, 2, 5, 5, 3, 9, 9, 3, 1, 3, 1, 7, 3, 1, 5, 4, 3, 3, 5, 3, 7, 7, 6, 9, 7, 3, 4, 5, 0, 0, 3, 0, 4, 5, 3, 5, 4, 9, 2, 4, 3, 5, 8, 4, 1, 6, 4, 5, 9, 6, 9, 2, 4, 1, 0, 0, 4, 3, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..86.

EXAMPLE

A296217(n)/A296217(n-1)) -> 4.31418696340...

See A296000 for a guide to related sequences and limiting ratios.

MATHEMATICA

a[0] = 1; a[1] = 2; b[0] = 3;

a[n_] := a[n] = Sum[a[k]*b[n - k - 1], {k, 1, n - 1}];

b[n_] := b[n] = mex[Flatten[Table[Join[{a[n]}, {a[i], b[i]}], {i, 0, n - 1}]]];

u = Table[a[n], {n, 0, 200}];  (* A296217 *)

Table[b[n], {n, 0, 20}]

N[Table[a[n]/a[n - 1], {n, 1, 200, 10}], 200];

RealDigits[Last[t], 10][[1]]    (* A296218 *)

CROSSREFS

Cf. A296000, A296215, A296217.

Sequence in context: A119505 A201518 A168616 * A130806 A200490 A016499

Adjacent sequences:  A296215 A296216 A296217 * A296219 A296220 A296221

KEYWORD

nonn,easy,cons

AUTHOR

Clark Kimberling, Dec 08 2017

STATUS

approved

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Last modified October 22 22:34 EDT 2019. Contains 328335 sequences. (Running on oeis4.)