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 A274198 Decimal expansion of limiting ratio described in Comments. 5
 1, 2, 1, 2, 9, 7, 9, 9, 2, 7, 0, 4, 9, 3, 6, 7, 7, 1, 8, 9, 1, 5, 2, 6, 4, 0, 2, 5, 5, 5, 1, 1, 2, 8, 7, 8, 2, 2, 9, 0, 2, 7, 9, 5, 6, 9, 9, 8, 9, 8, 8, 9, 8, 2, 0, 7, 0, 0, 8, 7, 4, 0, 8, 0, 6, 8, 2, 8, 0, 2, 4, 2, 2, 2, 4, 4, 4, 3, 7, 3, 5, 3, 1, 3, 4, 9 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS As in A274193, define g(n,k) = 1 for n >= 0; g(n,k) = 0 if k > n; g(n,k) = g(n-1,k-1) + g(n-1,4k) for n > 0, k > 1.  The sum of numbers in the n-th row of the array {g(n,k)} is given by A274197, and "limiting ratio" = limit of A274197(n)/A274197(n-1). LINKS EXAMPLE limiting ratio = 1.21297992704936771891526402555... MATHEMATICA z = 1500; g[n_, 0] = g[n, 0] = 1; g[n_, k_] := g[n, k] = If[k > n, 0, g[n - 1, k - 1] + g[n - 1, 4 k]]; t = Table[g[n, k], {n, 0, z}, {k, 0, n}]; w = Map[Total, t];   (* A274197 *) u = N[w[[z]]/w[[z - 1]], 100] RealDigits[u][[1]] (* A274198 *) CROSSREFS Cf. A274196, A274197, A274192, A274193, A274211 (reciprocal). Sequence in context: A022694 A173159 A271574 * A002079 A006126 A078357 Adjacent sequences:  A274195 A274196 A274197 * A274199 A274200 A274201 KEYWORD nonn,cons,easy AUTHOR Clark Kimberling, Jun 16 2016 STATUS approved

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Last modified August 4 14:04 EDT 2020. Contains 336201 sequences. (Running on oeis4.)