A138731 Continued fraction for 6th Du Bois Reymond constant.

0, 4531, 1, 1, 3, 1, 8, 3, 2, 1, 3, 1, 1, 9, 1, 2, 9, 1, 1, 5, 3, 2, 1, 1, 5, 1, 1, 3, 5, 3, 2, 1, 6, 1, 7, 2, 4, 1, 3, 1, 23, 2, 8, 2, 1, 19, 1, 23, 1, 3, 1, 18, 1, 2, 1, 1, 3, 24, 1, 4, 1, 1, 5, 1, 1, 2, 1, 1, 89, 1, 1, 1, 2, 1, 8, 1, 52, 1, 1, 1, 1, 1, 4, 1, 15, 1, 1, 1, 5, 3, 1, 2, 1, 4, 1, 4, 24, 5, 1, 5

Offset: 1

Author

Artur Jasinski, Mar 26 2008

Keywords

• nonn
• cofr

Crossrefs

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

Programs

Mathematica

ContinuedFraction[FullSimplify[TrigToExp[ -3 - 2Residue[x^2/((Tan[x] - x) (1 + x^2)^3), {x, I}]]], 100](*Artur Jasinski*)

PARI

contfrac((exp(6)-6*exp(4)+3*exp(2)-98)/32) \\ Charles R Greathouse IV, Feb 24 2012