Dual pairs of integrals arising from reflection coefficients.

Terms

a(0) =0a(1) =1a(2) =1a(3) =4a(4) =6a(5) =16a(6) =28a(7) =64a(8) =120a(9) =256a(10) =496a(11) =1024a(12) =2016a(13) =4096a(14) =8128a(15) =16384a(16) =32640a(17) =65536a(18) =130816a(19) =262144a(20) =523776a(21) =1048576a(22) =2096128a(23) =4194304a(24) =8386560a(25) =16777216a(26) =33550336a(27) =67108864a(28) =134209536a(29) =268435456