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

%I #10 Apr 10 2024 09:40:55

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

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

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

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

%F (this constant) - (constant in A371502) = 0.33333333365451421006976562532...

%e 1.16686507952566980346715416642...

%t s=Sum[1/((n^2 + n + 1)!), {n, 0, Infinity}]; First[RealDigits[N[s, 100]]]

%Y Cf. A371502.

%K nonn,cons

%O 0,3

%A _Clark Kimberling_, Apr 04 2024