cp's OEIS Frontend

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.

%I A274194 #5 Jun 16 2016 14:01:30
%S A274194 1,2,3,4,6,8,10,14,18,23,31,40,52,68,88,114,148,192,249,323,420,545,
%T A274194 707,919,1191,1547,2009,2606,3386,4396,5707,7413,9623,12496,16228,
%U A274194 21069,27363,35531,46139,59920,77806,101043,131215,170392,221283,287355,373168
%N 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.
%C A274194 See A274195 for the limit of a(n)/a(n-1).
%e A274194 (g(9,k)) = (1,4,4,4,3,2,2,1,1,1), so that a(9) = 23.
%t A274194 z = 150; g[n_, 0] = g[n, 0] = 1;
%t A274194 g[n_, k_] := g[n, k] = If[k > n, 0, g[n - 1, k - 1] + g[n - 1, 3 k]];
%t A274194 t = Table[g[n, k], {n, 0, z}, {k, 0, n}]; w = Map[Total, t];
%Y A274194 Cf. A274193, A274195.
%K A274194 nonn,easy
%O A274194 0,2
%A A274194 _Clark Kimberling_, Jun 14 2016