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A226655 Decimal expansion of the 2nd Lebesgue constant L2. 5
1, 6, 4, 2, 1, 8, 8, 4, 3, 5, 2, 2, 2, 1, 2, 1, 1, 3, 6, 8, 7, 3, 6, 2, 7, 9, 8, 8, 9, 2, 2, 9, 4, 0, 3, 4, 4, 1, 8, 3, 8, 2, 3, 4, 5, 5, 4, 8, 4, 8, 8, 7, 4, 3, 0, 0, 7, 7, 6, 2, 0, 4, 2, 0, 7, 7, 0, 4, 6, 6, 5, 6, 9, 5, 5, 2, 5, 0, 2, 4, 9, 2, 8, 4, 5, 6, 4, 0, 8, 3, 3, 2, 7, 7, 0, 0, 7, 9, 7, 1 (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..100.

Eric Weisstein's MathWorld, Lebesgue constants

FORMULA

(1/Pi)*integral_{t=0..Pi} abs(sin(5*t/2))/sin(t/2)

Equals 1/5 + sqrt(25 - 2*sqrt(5))/Pi.

EXAMPLE

1.6421884352221211368736279889229403441838234554848874300776204207704665695525...

MATHEMATICA

RealDigits[1/5 + Sqrt[25 - 2*Sqrt[5]]/Pi, 10, 100][[1]]

CROSSREFS

Cf. A226654 (L1), A226656 (L3).

Sequence in context: A193076 A073449 A134300 * A199741 A125214 A114062

Adjacent sequences:  A226652 A226653 A226654 * A226656 A226657 A226658

KEYWORD

cons,nonn

AUTHOR

Jean-Fran├žois Alcover, Jun 14 2013

STATUS

approved

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Last modified October 16 08:15 EDT 2019. Contains 328051 sequences. (Running on oeis4.)