Binomial transform of Mertens's function sequence A002321.

Terms

a(0) =1a(1) =1a(2) =0a(3) =-3a(4) =-11a(5) =-30a(6) =-72a(7) =-162a(8) =-353a(9) =-756a(10) =-1598a(11) =-3334a(12) =-6868a(13) =-14002a(14) =-28368a(15) =-57374a(16) =-116233a(17) =-236165a(18) =-480781a(19) =-978293a(20) =-1984231a(21) =-4003365a(22) =-8028201a(23) =-16011129a(24) =-31812545a(25) =-63129395a(26) =-125452526a(27) =-250216779a(28) =-501567302