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

1,2

Links

Table of n, a(n) for n=1..100.

Mathematica

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

Prog

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

Crossrefs

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

Sequence in context: A209955 A104845 A235852 * A250450 A339795 A337314

Adjacent sequences: A138728 A138729 A138730 * A138732 A138733 A138734

Keyword

nonn,cofr

Author

Artur Jasinski, Mar 26 2008

Status

approved