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A274200 Limiting reverse row of the array A274193. 4
1, 1, 1, 2, 2, 3, 4, 5, 7, 9, 12, 16, 20, 27, 35, 45, 60, 77, 101, 132, 170, 223, 289, 375, 490, 634, 826, 1074, 1392, 1813, 2352, 3055, 3973, 5154, 6700, 8702, 11296, 14681, 19058, 24754, 32156, 41747, 54232, 70425, 91451, 118786, 154241, 200319, 260157 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

The triangular array (g(n,k)) at A274193 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-1,3) for n > 0, k > 1.

LINKS

Table of n, a(n) for n=1..49.

EXAMPLE

Row g(9,k):  1,4,4,4,3,2,2,1,1,1; the reversal is

1,1,1,2,2,3,4,4,4,1,..., which agrees with A274200 up to the first 7 terms.

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, 3 k]];

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

Take[w, z/3]

CROSSREFS

Cf. A274193, A274199, A274201.

Sequence in context: A255575 A225501 A117298 * A018052 A018124 A124745

Adjacent sequences:  A274197 A274198 A274199 * A274201 A274202 A274203

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jun 16 2016

STATUS

approved

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Last modified October 13 18:57 EDT 2019. Contains 327981 sequences. (Running on oeis4.)