A049940 a(n)=a(1)+a(2)+...+a(n-1)+a(m), where m=2n-3-2^(p+1) and 2^p<n-1<=2^(p+1).

1, 1, 3, 6, 14, 26, 54, 119, 278, 503, 1008, 2027, 4094, 8412, 17554, 38194, 89848, 162143, 324288, 648587, 1297214, 2594652, 5190034, 10383154, 20779768, 41631830, 83498100, 167969126, 339831072, 695251878, 1453222088