A226656 - OEIS

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

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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