Expansion of (1 + sqrt( (1 + 2*x) / (1 - 2*x))) / 2 in powers of x.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =3a(5) =6a(6) =10a(7) =20a(8) =35a(9) =70a(10) =126a(11) =252a(12) =462a(13) =924a(14) =1716a(15) =3432a(16) =6435a(17) =12870a(18) =24310a(19) =48620a(20) =92378a(21) =184756a(22) =352716a(23) =705432a(24) =1352078a(25) =2704156a(26) =5200300a(27) =10400600a(28) =20058300a(29) =40116600