A138732 Continued fraction for 8th Du Bois Reymond constant.

0, 99232, 2, 6, 1, 3, 4, 2, 1, 2, 1, 16, 8, 2, 57, 13, 2, 1, 16, 1, 1, 6, 5, 5, 1, 1, 6, 1, 1, 3, 1, 1, 2, 9, 18, 1, 8, 15, 2, 2, 1, 2, 1, 2, 1, 5, 2, 3, 5, 1, 3, 4, 17, 11, 1, 2, 1, 6, 1, 2, 3, 15, 3, 12, 1, 8, 6, 1, 1, 1, 2, 4, 29, 44, 1, 1, 7, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 22, 1, 2, 5, 8, 2, 2, 5, 2

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)^4), {x, I}]]], 100] (* Artur Jasinski *)

PARI

contfrac((3*exp(8) - 24*exp(6) + 36*exp(4) - 8*exp(2)  - 1167)/384) \\ Michel Marcus, Sep 09 2013