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A274199 Limiting reverse row of the array A274190. 4
1, 1, 2, 3, 5, 8, 12, 19, 29, 44, 67, 101, 152, 228, 342, 511, 763, 1138, 1695, 2523, 3752, 5578, 8287, 12307, 18272, 27119, 40241, 59700, 88556, 131340, 194772, 288815, 428229, 634900, 941263, 1395397, 2068560, 3066372, 4545387, 6737633, 9987026, 14803303 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

The triangular array (g(n,k)) at A274190 is defined as follows:  g(n,k) = 1 for n >= 0; g(n,k) = 0 if k > n; g(n,k) = g(n-1,k-1) + g(n-1,2k) for n > 0, k > 1.

LINKS

Table of n, a(n) for n=0..41.

EXAMPLE

Row (g(14,k)):  1, 51, 73, 69, 55, 40, 28, 19, 12, 8, 5, 3, 2, 1, 1; the reversal is 1 1 2 3 5 8 12 19 28 ..., which agrees with A274199 up to 19.

MATHEMATICA

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, 2 k]];

z = 300; u = Reverse[Table[g[z, k], {k, 0, z}]];

z = 301; v = Reverse[Table[g[z, k], {k, 0, z}]];

w = Join[{1}, Intersection[u, v]] (* A274199 *)

CROSSREFS

Cf. A274190, A274200, A274201.

Sequence in context: A267372 A327421 A124062 * A099823 A240523 A023436

Adjacent sequences:  A274196 A274197 A274198 * A274200 A274201 A274202

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jun 13 2016

STATUS

approved

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Last modified October 1 13:04 EDT 2020. Contains 337443 sequences. (Running on oeis4.)