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A226656 Decimal expansion of the 3rd Lebesgue constant L3. 5
1, 7, 7, 8, 3, 2, 2, 8, 6, 1, 5, 2, 5, 8, 7, 5, 8, 6, 2, 9, 6, 0, 9, 6, 1, 1, 8, 8, 9, 5, 9, 2, 8, 3, 1, 3, 5, 4, 4, 1, 6, 1, 5, 1, 9, 1, 4, 6, 1, 5, 7, 4, 5, 0, 8, 0, 6, 6, 3, 4, 5, 9, 9, 1, 2, 3, 7, 6, 0, 6, 0, 5, 5, 1, 8, 5, 7, 0, 0, 5, 7, 3, 1, 0, 1, 5, 2, 6, 3, 9, 7, 1, 4, 7, 2, 3, 4, 0, 5, 2 (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(7*t/2))/sin(t/2)

Equals (3*Pi-14*cos(Pi/14)+70*cos(3*Pi/14)+154*sin(Pi/7))/(21*Pi).

EXAMPLE

1.7783228615258758629609611889592831354416151914615745080663459912376060551857...

MATHEMATICA

RealDigits[(3*Pi-14*Cos[Pi/14]+70*Cos[3*Pi/14]+154*Sin[Pi/7])/(21*Pi), 10, 100][[1]]

CROSSREFS

Cf. A226654 (L1), A226655 (L2).

Sequence in context: A088467 A153496 A011007 * A019718 A316139 A198992

Adjacent sequences:  A226653 A226654 A226655 * A226657 A226658 A226659

KEYWORD

cons,nonn

AUTHOR

Jean-Fran├žois Alcover, Jun 14 2013

STATUS

approved

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Last modified November 13 07:13 EST 2019. Contains 329085 sequences. (Running on oeis4.)