A114177 Row sums of triangle A114176, where the g.f. of column n equals the g.f. of row n divided by (1-x)^(n+1)*(1-x^2)^n.
1, 2, 5, 14, 40, 118, 352, 1063, 3232, 9887, 30379, 93698, 289886, 899249, 2795887, 8710024, 27181265, 84953472, 265875085, 833096503, 2613243040, 8205119977, 25785240122, 81096956291, 255244064543, 803894140748, 2533446491717
Offset: 0