Expansion of (2/Pi)*elliptic_E(k) in powers of q.

Terms

a(0) =1a(1) =-4a(2) =20a(3) =-64a(4) =164a(5) =-392a(6) =896a(7) =-1920a(8) =3908a(9) =-7684a(10) =14632a(11) =-27072a(12) =48896a(13) =-86408a(14) =149760a(15) =-255104a(16) =427652a(17) =-706568a(18) =1152020a(19) =-1855296a(20) =2954056a(21) =-4654080a(22) =7260288a(23) =-11221632a(24) =17194496a(25) =-26131980a(26) =39409960a(27) =-59003008a(28) =87728640a(29) =-129586568