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

%I #6 Nov 26 2024 15:06:54

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

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

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

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

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.

%F (constant in A371507) - (this constant) = 1.00000055114638447971781305611...

%e 0.508333057760143904931681150801...

%t s = N[Sum[(-1)^k/((k^2 + 1)!), {k, 0, Infinity}], 120]

%t First[RealDigits[s]]

%Y Cf. A371507.

%K nonn,cons,changed

%O 0,1

%A _Clark Kimberling_, Apr 10 2024