A049965 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, 3, 1, 8, 14, 35, 63, 128, 254, 635, 1205, 2382, 4743, 9480, 18953, 37908, 75814, 189535, 360115, 710757, 1416777, 2831193, 5661209, 11321848, 22643315, 45286504, 90572943, 181145858, 362291695, 724583384, 1449166761