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Continued fraction of the constant in A367309 (the area under the curve (1 - 2^(1-x)) zeta(x) from 0 to 1).
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%I #11 Nov 25 2023 08:42:16

%S 0,1,1,1,1,18,2,1,37,3,1,2,20,1,3,3,1,1,1,1,2,1,26,1,1,1,2,4,3,1,76,1,

%T 3,1,1,2,1,1,3,5,3,1,10,2,5,1,3,8,1,3,2,2,5,2,1,1,1,6,2,36,5,1,2,1,1,

%U 1,9,4,3,1,1,4,1,1,2,1,1,3,1,2,1,1,29,1

%N Continued fraction of the constant in A367309 (the area under the curve (1 - 2^(1-x)) zeta(x) from 0 to 1).

%t ContinuedFraction[NIntegrate[(1 - 2^(1-x)) Zeta[x], {x,0,1), WorkingPrecision ->300]]

%o (PARI) localprec(100); contfrac(intnum(x=0, 1, (1-2^(1-x))*zeta(x))) \\ _Michel Marcus_, Nov 14 2023

%Y Cf. A367309, A367311.

%K nonn,cofr

%O 0,6

%A _Alejandro Malla_, Nov 13 2023