Expansion of k/q^(1/2) in powers of q, where k is the elliptic function defined by sqrt(k) = theta_2/theta_3.

A127393

Expansion of k/q^(1/2) in powers of q, where k is the elliptic function defined by sqrt(k) = theta_2/theta_3.

Terms

    a(0) =4a(1) =-16a(2) =56a(3) =-160a(4) =404a(5) =-944a(6) =2072a(7) =-4320a(8) =8648a(9) =-16720a(10) =31360a(11) =-57312a(12) =102364a(13) =-179104a(14) =307672a(15) =-519808a(16) =864960a(17) =-1419456a(18) =2299832a(19) =-3682400a(20) =5831784a(21) =-9141808a(22) =14194200a(23) =-21842368a(24) =33329700a(25) =-50456352a(26) =75813240a(27) =-113107872a(28) =167616832a(29) =-246811504

External references