A049934 a(n)=a(1)+a(2)+...+a(n-1)+a(m), where m=n-1-2^p and 2^p<n-1<=2^(p+1).

1, 1, 1, 4, 8, 16, 32, 64, 131, 259, 518, 1036, 2075, 4154, 8316, 16648, 33328, 66593, 133186, 266372, 532747, 1065498, 2131004, 4262024, 8524080, 17048227, 34096582, 68193423, 136387364, 272775767, 545553613, 1091111388, 2182231108