A280841 Numerator of Integral_{x>=0} Product_{k=1..n} Sinc(x/k) dx / Pi.
1, 1, 1, 1727, 20652479, 2059268143, 24860948333867803, 145905074443586569379, 4567419249415312673370820607, 1642142815363470261591271553081, 4093745592094627817260334517735412136353665283
Offset: 1
Examples
I(4) = 1727*Pi/3456. So a(4) = 1727. I(5) = 20652479*Pi/41472000. So a(5) = 20652479. I(6) = 2059268143*Pi/4147200000. So a(6) = 2059268143. I(7) = 24860948333867803*Pi/50185433088000000. So a(7) = 24860948333867803.
Links
- Robert G. Wilson v, Table of n, a(n) for n = 1..15
Programs
-
Mathematica
f[n_] := Numerator[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 09 2017
Comments