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%I A239354 #27 Dec 17 2022 03:31:20
%S A239354 0,5,6,8,5,2,8,1,9,4,4,0,0,5,4,6,9,0,5,8,2,7,6,7,8,7,8,5,4,1,8,2,3,4,
%T A239354 3,1,9,2,4,4,9,9,8,6,5,6,3,9,7,4,4,7,4,5,8,7,9,3,1,9,9,9,0,5,0,6,6,0,
%U A239354 6,3,7,8,0,3,0,3,0,5,2,8,4,3,9,4,1
%N A239354 Decimal expansion of 3/4 - log(2).
%D A239354 L. B. W. Jolley, Summation of series, Dover Publications Inc. (New York), 1961, p. 46 (series n. 249).
%H A239354 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%F A239354 Equals Sum_{k >= 1} 1/((2*k)*(2*k+1)*(2*k+2)).
%F A239354 Equals Integral_{x = 0..1} Integral_{y = 0..1} (x*y)^2/(x + y)^2 dy dx. - _Peter Bala_, Dec 12 2022
%e A239354 0.0568528194400546905827678785418234319244998656397447458793199905066...
%e A239354 1/(2*3*4) + 1/(4*5*6) + 1/(6*7*8) + 1/(8*9*10) + 1/(10*11*12) + ...
%t A239354 RealDigits[3/4 - Log[2], 10, 100, -1][[1]]
%o A239354 (PARI) 3/4 - log(2) \\ _Charles R Greathouse IV_, Jul 14 2014
%Y A239354 Cf. A187832: Sum_{k>=1} 1/((2k-1)*(2k)*(2k+1)).
%K A239354 nonn,cons
%O A239354 0,2
%A A239354 _Bruno Berselli_, Mar 16 2014

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