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A226654 Decimal expansion of the 1st Lebesgue constant L1. 4
1, 4, 3, 5, 9, 9, 1, 1, 2, 4, 1, 7, 6, 9, 1, 7, 4, 3, 2, 3, 5, 5, 9, 8, 6, 3, 2, 9, 9, 5, 9, 2, 7, 2, 2, 1, 6, 1, 2, 8, 1, 0, 6, 2, 9, 4, 0, 6, 6, 6, 1, 4, 6, 3, 8, 9, 3, 2, 0, 6, 5, 3, 7, 3, 9, 1, 5, 3, 9, 3, 9, 4, 0, 2, 7, 1, 8, 7, 2, 9, 2, 3, 0, 1, 4, 0, 9, 3, 3, 9, 0, 9, 7, 9, 6, 7, 5, 1, 1, 1, 7, 4, 8, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, page 251.

LINKS

Table of n, a(n) for n=1..104.

Eric Weisstein's MathWorld, Lebesgue constants

FORMULA

(1/Pi)*integral_{t=0..Pi} abs(sin(3*t/2))/sin(t/2) dt.

Equals 1/3 + 2*sqrt(3)/Pi.

EXAMPLE

1.43599112417691743235598632995927221612810629406661463893206537391539394...

MATHEMATICA

RealDigits[1/3 + 2*Sqrt[3]/Pi, 10, 100][[1]]

CROSSREFS

Cf. A226655 (L2), A226656 (L3).

Sequence in context: A227684 A200636 A229938 * A124451 A140391 A241284

Adjacent sequences:  A226651 A226652 A226653 * A226655 A226656 A226657

KEYWORD

cons,nonn

AUTHOR

Jean-Fran├žois Alcover, Jun 14 2013

STATUS

approved

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Last modified October 23 06:00 EDT 2014. Contains 248411 sequences.