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%I #10 Jan 21 2021 04:38:32
%S 2,8,9,5,7,6,5,3,6,5,9,0,6,9,9,7,2,5,2,4,4,6,0,2,2,0,7,6,8,6,4,9,6,6,
%T 6,3,2,5,6,8,3,7,3,5,8,8,6,3,1,4,6,5,3,4,7,6,8,4,8,3,8,0,0,4,9,2,8,0,
%U 4,4,8,6,2,8,8,2,8,8,4,9,4,3,8,8,0,5,8
%N Decimal expansion of (2 - e*log(2))/4.
%C This constant appears in an asymptotic formula proved by Linnik in 1960 in an additive problem of Hardy-Littlewood (see Formula 1 in Dimitrov and Formula 0.3 in Linnik).
%H Stoyan I. Dimitrov, <a href="https://arxiv.org/abs/2011.03967">The ternary Piatetski-Shapiro inequality with one prime of the form p = x^2 + y^2 + 1</a>, arXiv:2011.03967 [math.NT], 2020.
%H Juriĭ Vladimirovič Linnik, <a href="http://mi.mathnet.ru/eng/izv3674">An asymptotic formula in an additive problem of Hardy-Littlewood</a>, Izv. Akad. Nauk SSSR Ser. Mat., 24 (1960), 629-706 (in Russian).
%e 0.02895765365906997252446022076864966632568373588631465...
%t First[RealDigits[N[(2-E*Log[2])/4,87]]]
%Y Cf. A001113, A002162, A079544, A276415, A283239.
%K nonn,cons
%O -1,1
%A _Stefano Spezia_, Jan 21 2021