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%I #5 Feb 04 2024 03:27:44
%S 9,3,2,6,8,1,3,1,4,7,8,6,3,5,1,0,1,7,7,7,3,6,9,7,5,5,7,8,0,7,9,9,0,2,
%T 3,5,0,6,6,1,9,2,0,9,3,8,7,6,9,7,5,3,1,5,4,5,6,3,4,1,2,6,4,4,0,3,1,5,
%U 6,8,4,7,9,2,1,1,6,4,4,1,1,3,9,5,6,1,9,6,2,2,8,8,5,3,9,6,5,3,8,7,4,1,7,7,1
%N Decimal expansion of sinh(Pi/2)/(Pi/2)^2.
%D József Sándor and Borislav Crstici, Handbook of Number theory II, Kluwer Academic Publishers, 2004, Chapter 4, p. 424.
%H Jonathan M. Borwein and Peter B. Borwein, <a href="https://doi.org/10.2307/2324993">Strange series and high precision fraud</a>, The American Mathematical Monthly, Vol. 99, No. 7 (1992), pp. 622-640. See p. 629, eq. (3.6); <a href="https://carmamaths.org/resources/jon/Preprints/Books/MbyE/Second-Ed/Material/strange-series.pdf">alternative link</a>.
%F Equals A060294 * A308716 = A308716 / A019669 = A185199 * A367959 = A367959 / A091476 = A367959 / A019669^2.
%F Equals Sum_{k>=0} (-1/16)^A000120(k)/D(k)^4, where D(k) = A096111(k-1) for k >= 1, and D(0) = 1 (Borwein and Borwein, 1992).
%e 0.93268131478635101777369755780799023506619209387697...
%t RealDigits[Sinh[Pi/2]/(Pi/2)^2, 10, 120][[1]]
%o (PARI) sinh(Pi/2)/(Pi/2)^2
%Y Cf. A000120, A019669, A060294, A096111, A091476, A185199, A258232, A308716, A367959.
%K nonn,cons
%O 0,1
%A _Amiram Eldar_, Feb 04 2024
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