A117419 Column 1 of triangle A117418; also row sums of triangle A117418; also column 0 of the matrix square of triangle A117418.

1, 2, 4, 9, 23, 66, 209, 724, 2722, 11054, 48221, 224549, 1109099, 5778542, 31599830, 180605495, 1074867618, 6641877098, 42500291654, 280917956734, 1913770121847, 13412187670520, 96528097452230, 712332226596239, 5382561715509704