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A138733 Second term of continued fraction for 2n-th Du Bois Reymond constant. 6
5, 190, 4531, 99232, 2125044, 45190209, 958768567, 20325471335, 430773893366, 9128872855695, 193450867955197, 4099389985205820, 86869246502331992, 1840823999333339814, 39008411877876819180, 826616742911186406242 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..16.

FORMULA

a(n) = floor(1/C(2n)), where C(2n) is the 2n-th Du Bois Reymond constant. [From Max Alekseyev, Sep 15 2009]

MATHEMATICA

a = {}; Do[AppendTo[a, Last[ContinuedFraction[FullSimplify[TrigToExp[ -3 - 2Residue[x^2/((Tan[x] - x) (1 + x^2)^n), {x, I}]]], 2]]], {n, 1, 9}]; a (*Artur Jasinski*)

CROSSREFS

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

Sequence in context: A268001 A096543 A209412 * A222363 A316330 A015102

Adjacent sequences:  A138730 A138731 A138732 * A138734 A138735 A138736

KEYWORD

nonn

AUTHOR

Artur Jasinski, Mar 26 2008

EXTENSIONS

Extended by Max Alekseyev, Sep 15 2009

STATUS

approved

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Last modified June 6 04:15 EDT 2020. Contains 334859 sequences. (Running on oeis4.)