A049933 a(n)=a(1)+a(2)+...+a(n-1)+a(m), where m=2^(p+1)+2-n and 2^p<n-1<=2^(p+1).

1, 1, 1, 4, 8, 19, 35, 70, 140, 349, 663, 1310, 2609, 5214, 10425, 20850, 41700, 104249, 198073, 390935, 779265, 1557231, 3113815, 6227316, 12454423, 24908776, 49817517, 99635018, 199270025, 398540046, 797080089, 1594160178