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A223710
Decimal expansion of (Pi-2)*(Pi-1)/3.
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
0,1
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.
FORMULA
Equals sum(sin(2*k)/k^3, k>=1).
EXAMPLE
0.8149421467733263011488536166792141609073970697051577...
MATHEMATICA
RealDigits[(Pi - 2) (Pi - 1)/3, 10, 90][[1]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Bruno Berselli, Mar 26 2013
STATUS
approved