A223710 Decimal expansion of (Pi-2)*(Pi-1)/3.

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

Offset: 0

Author

Bruno Berselli, Mar 26 2013

Keywords

• nonn
• cons

Examples

			0.8149421467733263011488536166792141609073970697051577...
		

References

• 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.

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for transcendental numbers

Crossrefs

Cf. A096444, A217909, A223709.

Programs

Mathematica

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

Formula

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