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Decimal expansion of (Pi-2)*(Pi-1)/3.
3

%I #17 Oct 01 2022 00:12:04

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

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

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

%N Decimal expansion of (Pi-2)*(Pi-1)/3.

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

%H Vincenzo Librandi, <a href="/A223710/b223710.txt">Table of n, a(n) for n = 0..1000</a>

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

%F Equals sum(sin(2*k)/k^3, k>=1).

%e 0.8149421467733263011488536166792141609073970697051577...

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

%Y Cf. A096444, A217909, A223709.

%K nonn,cons

%O 0,1

%A _Bruno Berselli_, Mar 26 2013