a(1) = 2; for n>1, a(n)=SENSigma(a(n-1)), where SENSigma(m) = (-1)^((Sum_i r_i)+Omega(m))*Sum_{d|m} (-1)^((Sum_j Max(r_j))+Omega(d))*d = Product_i (Sum_{1<=s_i<=r_i} p_i^s_i)+(-1)^(r_i+1) if m=Product_i p_i^r_i, d=Product_j p_j^r_j, p_j^max(r_j) is the largest power of p_j dividing m.
A125141
a(1) = 2; for n>1, a(n)=SENSigma(a(n-1)), where SENSigma(m) = (-1)^((Sum_i r_i)+Omega(m))*Sum_{d|m} (-1)^((Sum_j Max(r_j))+Omega(d))*d = Product_i (Sum_{1<=s_i<=r_i} p_i^s_i)+(-1)^(r_i+1) if m=Product_i p_i^r_i, d=Product_j p_j^r_j, p_j^max(r_j) is the largest power of p_j dividing m.
Terms
- a(0) =2a(1) =3a(2) =4a(3) =5a(4) =6a(5) =12a(6) =20a(7) =30a(8) =72a(9) =165a(10) =288a(11) =693a(12) =1056a(13) =3024a(14) =9280a(15) =22500a(16) =42845a(17) =60480a(18) =240000a(19) =794580a(20) =1814400a(21) =7040040a(22) =26352000a(23) =98654400a(24) =321552000a(25) =1260230400a(26) =5311834416a(27) =17570520000a(28) =75087810000a(29) =325180275840
External references
- oeis: A125141