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%I #35 Nov 21 2024 08:20:49
%S 0,2,2,5,8,8,7,2,2,2,3,9,7,8,1,2,3,7,6,6,8,9,2,8,4,8,5,8,3,2,7,0,6,2,
%T 7,2,3,0,2,0,0,0,5,3,7,4,4,1,0,2,1,0,1,6,4,8,2,7,2,0,0,3,7,9,7,3,5,7,
%U 4,4,8,7,8,7,8,7,7,8,8,6,2,4,2,3,4,5,3,3,0,7,9,8,5,6,7
%N Decimal expansion of 4*log(2) - 11/4.
%H Michael Ian Shamos, <a href="https://citeseerx.ist.psu.edu/pdf/ae33a269baba5e8b1038e719fb3209e8a00abec5">A catalog of the real numbers</a> (2011), p. 63.
%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%F Equals Sum_{k>=1} (-1)^(k+1) * k/((k + 1)*(k + 2)*(k + 3)) [Shamos].
%F Equals Sum_{k>=1} (-1)^(k+1)/((k+1)^2*(k+2)^2).
%F Equals Sum_{k>=3} (-1)^(k+1)/A035287(k). - _Amiram Eldar_, Nov 21 2022
%e 0.0225887222397812376689284858327062723020005374...
%t Join[{0}, RealDigits[4*Log[2] - 11/4, 10, 120][[1]]] (* _Amiram Eldar_, Nov 21 2022 *)
%o (PARI) 4*log(2) - 11/4
%Y Cf. A016639, A035287, A242023, A242024, A358516, A358519.
%Y Cf. A002162.
%K nonn,cons
%O 0,2
%A _Claude H. R. Dequatre_, Nov 20 2022