A049890 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, 2, 3, 6, 12, 24, 47, 93, 188, 376, 751, 1501, 2999, 5992, 11972, 23921, 47888, 95776, 191551, 383101, 766199, 1532392, 3064772, 6129521, 12258996, 24517897, 49035606, 98070837, 196140924, 392280350, 784557707, 1569109434