a(n) = n*4^n*(-Z(1-n, 1/4)/2 + Z(1-n, 3/4)/2 - Z(1-n, 1)*(1 - 2^(-n))) for n > 0 and a(0) = 0, where Z(n, c) is the Hurwitz zeta function.
A243963
a(n) = n*4^n*(-Z(1-n, 1/4)/2 + Z(1-n, 3/4)/2 - Z(1-n, 1)*(1 - 2^(-n))) for n > 0 and a(0) = 0, where Z(n, c) is the Hurwitz zeta function.
Terms
- a(0) =0a(1) =0a(2) =2a(3) =3a(4) =-8a(5) =-25a(6) =96a(7) =427a(8) =-2176a(9) =-12465a(10) =79360a(11) =555731a(12) =-4245504a(13) =-35135945a(14) =313155584a(15) =2990414715a(16) =-30460116992a(17) =-329655706465
External references
- oeis: A243963