A226656 Decimal expansion of the 3rd Lebesgue constant L3.

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

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 A353973 A316139

Adjacent sequences: A226653 A226654 A226655 * A226657 A226658 A226659

Keyword

cons,nonn

Author

Jean-François Alcover, Jun 14 2013

Status

approved