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Decimal expansion of Sum_{k>=0} (2^k + 1)/(3^k + 1).
4

%I #8 Sep 24 2024 19:11:55

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

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

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

%N Decimal expansion of Sum_{k>=0} (2^k + 1)/(3^k + 1).

%e 3.17926687388521243903268667719706019015292978153968229...

%t s = Sum[(2^k + 1)/(3^k + 1), {k, 0, 1000}];

%t d = N[s, 100]

%t First[RealDigits[d]]

%t RealDigits[Total[Table[(2^k+1)/(3^k+1),{k,0,1000}]],10,100][[1]] (* _Harvey P. Dale_, Sep 24 2024 *)

%Y Cf. A372907, A372909, A372910, A372911.

%K nonn,cons

%O 1,1

%A _Clark Kimberling_, Jun 12 2024