A217909 - OEIS

%I #19 Oct 01 2022 01:01:32

%S 1,1,6,2,1,8,7,2,9,9,6,7,6,4,4,5,2,2,8,7,6,2,9,7,8,8,7,5,5,9,1,9,4,0,

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

%U 5,4,9,7,0,6,5,6,3,2,3,7,4,5,8,7,8,0,8

%N Decimal expansion of (Pi-3)*(2*Pi-3)/4.

%D Tom M. Apostol, Calculus, Vol. 1, John Wiley & Sons, 1967 (2nd ed.). This constant is the case s=t=3 in sum(sin(n*s)/n^t, n>=1), see p. 409.

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>

%F Equals sum(sin(3*k)/k^3, k>=1).

%e 0.1162187299676445228762978875591940782132185550264072...

%t RealDigits[(Pi - 3) (2 Pi - 3)/4, 10, 90][[1]]

%Y Cf. A096444, A223709, A223710.

%K nonn,cons

%O 0,3

%A _Bruno Berselli_, Mar 25 2013