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

1,2

Links

Table of n, a(n) for n=1..96.

Mathematica

ContinuedFraction[FullSimplify[TrigToExp[ -3 - 2Residue[x^2/((Tan[x] - x) (1 + x^2)^4), {x, I}]]], 100] (* Artur Jasinski *)

Prog

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

Crossrefs

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

Sequence in context: A254842 A339936 A348275 * A108224 A268417 A232188

Adjacent sequences: A138729 A138730 A138731 * A138733 A138734 A138735

Keyword

nonn,cofr

Author

Artur Jasinski, Mar 26 2008

Status

approved