A049948 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, 2, 1, 5, 10, 20, 40, 89, 208, 377, 754, 1517, 3064, 6296, 13138, 28586, 67246, 121355, 242710, 485429, 970888, 1941944, 3884434, 7771178, 15552430, 31158968, 62493400, 125714978, 254343502, 520355000, 1087650970, 2367152042