G.f.: A(x) = exp( 2*Sum_{n>=1} sigma(n)*A006519(n) * x^n/n ), where A006519(n) = highest power of 2 dividing n.

A162584

G.f.: A(x) = exp( 2*Sum_{n>=1} sigma(n)*A006519(n) * x^n/n ), where A006519(n) = highest power of 2 dividing n.

Terms

    a(0) =1a(1) =2a(2) =8a(3) =16a(4) =50a(5) =96a(6) =240a(7) =448a(8) =1024a(9) =1858a(10) =3888a(11) =6896a(12) =13696a(13) =23776a(14) =44960a(15) =76608a(16) =139970a(17) =234432a(18) =414904a(19) =684336a(20) =1181568a(21) =1921472a(22) =3242928a(23) =5206208a(24) =8623104a(25) =13679490a(26) =22268752a(27) =34941120a(28) =56039936a(29) =87036576

External references