A274194 Row sums of the array A274193, defined by g(n,k) = 1 for n >= 0; g(n,k) = 0 if k > n; g(n,k) = g(n-1,k-1) + g(n-1,3k) for n > 0, k > 1.

1, 2, 3, 4, 6, 8, 10, 14, 18, 23, 31, 40, 52, 68, 88, 114, 148, 192, 249, 323, 420, 545, 707, 919, 1191, 1547, 2009, 2606, 3386, 4396, 5707, 7413, 9623, 12496, 16228, 21069, 27363, 35531, 46139, 59920, 77806, 101043, 131215, 170392, 221283, 287355, 373168

Offset: 0

Author

Clark Kimberling, Jun 14 2016

Keywords

• nonn
• easy

Comments

See A274195 for the limit of a(n)/a(n-1).

Examples

			(g(9,k)) = (1,4,4,4,3,2,2,1,1,1), so that a(9) = 23.
		

Crossrefs

Cf. A274193, A274195.

Programs

Mathematica

z = 150; 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]];
t = Table[g[n, k], {n, 0, z}, {k, 0, n}]; w = Map[Total, t];