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Decimal expansion of 2 - Pi / (2*sqrt(2)).
3

%I #14 Jun 07 2023 04:39:51

%S 8,8,9,2,7,9,2,6,5,4,6,0,4,0,8,4,3,8,2,4,6,0,2,9,7,5,2,4,8,4,8,2,6,5,

%T 7,5,3,4,6,3,4,4,5,7,7,6,5,6,0,7,7,4,4,4,2,2,8,6,5,1,0,9,8,2,6,0,8,9,

%U 1,3,0,1,7,2,5,1,3,1,5,2,2,3,5,6,1,6,8,2,6,6,3,0,8,8,0,8,6,9,0,6,5,9,1,4,7

%N Decimal expansion of 2 - Pi / (2*sqrt(2)).

%D L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (326).

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>

%F Equals 1 + Sum_{k>=1} ( (-1)^k/(4*k-1) - (-1)^k/(4*k+1) ).

%e 0.889279265460408438246029752484826575346344577656...

%p evalf(2-Pi/sqrt(8), 140); # _Alois P. Heinz_, Aug 06 2021

%t RealDigits[2 - Pi / (2 * Sqrt[2]), 10, 120][[1]] (* _Amiram Eldar_, Jun 07 2023 *)

%o (PARI) 2 - Pi/(2*sqrt(2)) \\ _Michel Marcus_, Aug 06 2021

%Y Cf. A346907, A346850, A346849, A093954.

%K nonn,cons

%O 0,1

%A _Sean A. Irvine_, Aug 06 2021