A091473 Integrate[Cos[2x]Product[Cos[x/n],{n,Infinity}],{x,0,Infinity}].

3, 9, 2, 6, 9, 9, 0, 8, 1, 6, 9, 8, 7, 2, 4, 1, 5, 4, 8, 0, 7, 8, 3, 0, 4, 2, 2, 9, 0, 9, 9, 3, 7, 8, 6, 0, 5, 2, 4, 6, 4, 5, 4, 3, 4, 1, 8, 7, 2, 3, 1, 5, 9, 5, 9, 2, 6, 8, 1, 2, 2, 8, 5, 1, 6, 2, 0, 9, 3, 2, 4, 7, 1, 3, 9, 9, 3, 8, 5, 4, 6, 1, 7, 9, 0, 1, 6, 5, 1, 2, 7, 4, 7, 4, 5, 5, 3, 6, 6, 7, 8