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A117231 Decimal expansion of the integral over cos((log x)/x)/x dx from x=0 to 1. 0
3, 2, 3, 3, 6, 7, 4, 3, 1, 6, 7, 7, 7, 7, 8, 7, 6, 1, 3, 9, 9, 3, 7, 0, 0, 8, 7, 9, 5, 2, 1, 7, 0, 4, 4, 6, 6, 5, 1, 0, 4, 6, 6, 2, 5, 7, 2, 5, 4, 6, 9, 6, 6, 1, 6, 8, 1, 0, 3, 6, 4, 4, 3, 4, 3, 1, 7, 9, 0, 3, 3, 7, 2, 1, 0, 6, 7, 2, 8, 9, 4, 4, 3, 1, 9, 3, 0, 3, 7, 0, 4, 6, 4, 1, 0, 2, 4, 5, 1, 3, 8, 0, 2, 8, 0 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Decimal expansion of solution to problem #1 in the Trefethen challenge.

LINKS

Table of n, a(n) for n=0..104.

Eric Weisstein's World of Mathematics, Hundred-Dollar, Hundred-Digit Challenge Problems

W. Gautschi, The numerical evaluation of a challenging integral, Num. Alg. 49 (1-4) (2008) 187-194.

EXAMPLE

integral(t=0..1) t^(-1)*cos(t^(-1)*log(t)) dt = 0.32336743167777876139937..

MATHEMATICA

RealDigits[ NIntegrate[ ProductLog'[u]*Cos[u], {u, 0, Infinity}, WorkingPrecision -> 220]][[1]][[1 ;; 105]] (* Jean-Fran├žois Alcover, Oct 26 2012, after W. Gautschi *)

CROSSREFS

Sequence in context: A070544 A087713 A089319 * A106151 A239959 A214435

Adjacent sequences:  A117228 A117229 A117230 * A117232 A117233 A117234

KEYWORD

nonn,cons

AUTHOR

Eric W. Weisstein, Mar 05 2006

STATUS

approved

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Last modified October 31 05:13 EDT 2014. Contains 248845 sequences.