A138730 Continued fraction for 4th Du Bois Reymond constant.

0, 190, 1, 4, 2, 1, 1, 1, 6, 10, 6, 6, 1, 3, 2, 9, 67, 2, 3, 1, 7, 1, 2, 1, 1, 1, 2, 1, 1, 4, 1, 68, 5, 6, 1, 1, 1, 4, 1, 1, 5, 1, 4, 8, 2, 5, 5, 1, 1, 3, 1, 2, 2, 6, 1, 1, 1, 9, 2, 1, 1, 1, 17, 5, 21, 2, 9, 1, 3, 1, 2, 4, 1, 3, 5, 1, 56, 1, 4, 14, 5, 17, 4, 2, 34, 1, 18, 1, 1, 4, 1, 5, 16, 1, 3, 27, 1, 11

Offset

1,2

Links

Table of n, a(n) for n=1..98.

Mathematica

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

Prog

(PARI) contfrac((exp(4)-4*exp(2)-25)/8) \\ Charles R Greathouse IV, Feb 24 2012

Crossrefs

Cf. A207528, A062545, A062546, A085466, A085467, A138729, A138730, A138731, A138732, A138733.

Sequence in context: A352759 A259166 A156741 * A159821 A118878 A036208

Adjacent sequences: A138727 A138728 A138729 * A138731 A138732 A138733

Keyword

nonn,cofr

Author

Artur Jasinski, Mar 26 2008

Status

approved