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A221208 Decimal expansion of the Borwein integral with 8 sinc functions. 0
1, 5, 7, 0, 7, 9, 6, 3, 2, 6, 7, 7, 1, 7, 9, 6, 0, 4, 6, 5, 0, 5, 8, 4, 0, 8, 9, 4, 2, 4, 6, 4, 9, 5, 8, 5, 4, 7, 5, 0, 6, 5, 9, 3, 1, 8, 3, 8, 7, 5, 3, 2, 5, 9, 5, 9, 8, 0, 2, 2, 7, 5, 8, 2, 3, 5, 4, 7, 7, 6, 9, 6, 2, 7, 6, 6, 9, 2, 6, 3, 9, 1, 0, 7, 0, 4, 9, 6, 6, 6, 1, 7, 9, 3, 8, 6, 3, 4, 7, 3, 4, 0, 5, 0, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The difference from pi/2 (A019669) is approximately 0.231006*10^(-10).

LINKS

Table of n, a(n) for n=1..105.

Eric Weisstein's MathWorld, Borwein Integrals

Wikipedia, Borwein integral

EXAMPLE

1.570796326771796...

MATHEMATICA

Integrate[Product[Sinc[x/(2*k+1)], {k, 0, 7}], {x, 0, Infinity}] // RealDigits[#, 10, 105]& // First

CROSSREFS

Cf. A068214

Sequence in context: A195793 A216545 A216547 * A085679 A019669 A088394

Adjacent sequences:  A221205 A221206 A221207 * A221209 A221210 A221211

KEYWORD

cons,nonn,easy

AUTHOR

Jean-Fran├žois Alcover, Feb 21 2013

STATUS

approved

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Last modified May 26 04:46 EDT 2019. Contains 323579 sequences. (Running on oeis4.)