A027137 a(n) = Sum_{k=0..2n} (k+1) * A027113(n, k).
1, 9, 40, 163, 606, 2149, 7378, 24767, 81784, 266721, 861426, 2760523, 8790108, 27841469, 87789916, 275762167, 863353934, 2695201705, 8392538682, 26074810851, 80850124228, 250242934405, 773288315888, 2386084417999
Offset: 0