Product_{n>=1} (1 + 2*a(n)*x^n) = Sum_{k>=0} binomial(2*k, k)*x^k = 1/sqrt(1 - 4*x), with the central binomial numbers A000984(n).
A157163
Product_{n>=1} (1 + 2*a(n)*x^n) = Sum_{k>=0} binomial(2*k, k)*x^k = 1/sqrt(1 - 4*x), with the central binomial numbers A000984(n).
Terms
- a(0) =1a(1) =3a(2) =4a(3) =27a(4) =48a(5) =156a(6) =576a(7) =2955a(8) =7168a(9) =27792a(10) =95232a(11) =352188a(12) =1290240a(13) =5105856a(14) =17743872a(15) =77010795a(16) =252641280a(17) =1000224768a(18) =3616800768a(19) =14484040464a(20) =52102692864a(21) =208963943424a(22) =764877471744
External references
- oeis: A157163