A049946 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, 4, 7, 14, 28, 56, 115, 233, 460, 920, 1843, 3689, 7385, 14784, 29596, 59251, 118388, 236776, 473555, 947113, 1894233, 3788480, 7576988, 15154035, 30308188, 60616603, 121233666, 242468255, 484938356, 969880408, 1939768215