A280842 Denominator of Integral_{x>=0} Product_{k=1..n} Sinc(x/k) dx / Pi.
2, 2, 2, 3456, 41472000, 4147200000, 50185433088000000, 295090346557440000000, 9251918060437194670080000000, 3330690501757390081228800000000, 8312243866372850396258184884618526720000000000
Offset: 1
Examples
I(4) = 1727*Pi/3456. So a(4) = 3456. I(5) = 20652479*Pi/41472000. So a(5) = 41472000. I(6) = 2059268143*Pi/4147200000. So a(6) = 4147200000. I(7) = 24860948333867803*Pi/50185433088000000. So a(7) = 50185433088000000.
Links
- Robert G. Wilson v, Table of n, a(n) for n = 1..15
Programs
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Mathematica
f[n_] := Denominator[Integrate[Product[Sinc[x/k], {k, n}], {x, 0, Infinity}]/Pi]; Array[f, 11] (* Robert G. Wilson v, Jan 29 2017 *)
Extensions
a(8)-a(11) from Alois P. Heinz, Jan 10 2017
Comments