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Decimal expansion of Sum_{k>=0} 1/(5*k + 1)^3.
3

%I #5 Nov 01 2024 23:46:14

%S 1,0,0,5,9,1,2,1,4,4,4,5,7,7,4,3,7,3,2,2,3,6,7,9,2,3,6,0,1,4,7,0,0,1,

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

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

%N Decimal expansion of Sum_{k>=0} 1/(5*k + 1)^3.

%H Michael I. Shamos, <a href="http://euro.ecom.cmu.edu/people/faculty/mshamos/cat.pdf">A catalog of the real numbers</a>, (2007). See p. 32.

%F Equals -psi''(1/5)/250 (see Shamos).

%e 1.00591214445774373223679236014700144825493611206...

%t RealDigits[-PolyGamma[2,1/5]/250,10,100][[1]]

%Y Cf. A016861, A016863, A233091, A377557, A377558, A377560.

%K nonn,cons

%O 1,4

%A _Stefano Spezia_, Nov 01 2024