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Decimal expansion of Sum_{k>=1} 1/(n! + 1/2).
1

%I #12 Feb 26 2019 10:58:03

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

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

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

%N Decimal expansion of Sum_{k>=1} 1/(n! + 1/2).

%e 1.2712420801924538744751...

%t f[x_] := Sum[1/(n! + x), {n, 1, 500}]

%t RealDigits[N[f[1/2], 500]][[1]] (* this sequence *)

%t Plot[f[x], {x, -1, 1}]

%o (PARI) suminf(k=1, 1/(k! + 1/2)) \\ _Michel Marcus_, Feb 24 2019

%Y Cf. A324330.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Feb 22 2019