A144616 Denominator of n-th Borwein integral divided by Pi/2.

1, 1, 1, 1, 1, 1, 1, 467807924720320453655260875000, 17708695394150597647449176493763755467520000000, 8096800377970649960875919032857634716820075076062381575000000, 2051564503724359411435325207087513361930253427318374450656960000000000

Offset: 0

Author

N. J. A. Sloane, Jan 15 2009, based on email from Bill Gosper

Keywords

• nonn
• frac

Comments

See comments in A068214.

Links

• Andrey Zabolotskiy, Table of n, a(n) for n = 0..20 (terms 0..12 from _Robert G. Wilson v_)

Crossrefs

Cf. A068214 (numerators).

Programs

Mathematica

(Mma 7.0) Table[2/Pi*Integrate[Product[Sinc[x/k], {k, 1, 2*n + 1, 2}], {x, 0, Infinity }], {n, 0, 7}]

Extensions

a(9)-a(11) from Robert G. Wilson v, Nov 04 2013

New name, offset changed from 1 to 0 by Andrey Zabolotskiy, Dec 14 2024