A138733 Second term of continued fraction for 2n-th Du Bois Reymond constant.

5, 190, 4531, 99232, 2125044, 45190209, 958768567, 20325471335, 430773893366, 9128872855695, 193450867955197, 4099389985205820, 86869246502331992, 1840823999333339814, 39008411877876819180, 826616742911186406242

Offset: 1

Author

Artur Jasinski, Mar 26 2008

Keywords

• nonn

Crossrefs

Cf. A062545, A062546, A085466, A085467, A138729, A138730, A138731, A138732, A138733.

Programs

Mathematica

a = {}; Do[AppendTo[a,Last[ContinuedFraction[FullSimplify[TrigToExp[ -3 - 2Residue[x^2/((Tan[x] - x) (1 + x^2)^n), {x,I}]]], 2]]], {n, 1, 9}]; a (*Artur Jasinski*)

Formula

a(n) = floor(1/C(2n)), where C(2n) is the 2n-th Du Bois Reymond constant. [From Max Alekseyev, Sep 15 2009]

Extensions

Extended by Max Alekseyev, Sep 15 2009