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A363842 Decimal expansion of Sum_{k>=0} 1/(k!)!^2. 1

%I #12 Jun 25 2023 08:13:17

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

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

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

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

%C 1166401/518400 approximates this constant to 48 significant digits.

%e 2.25000192901234567901234567901234567901234567901...

%t RealDigits[Sum[1/(k!)!^2, {k, 0, 4}], 10, 100][[1]]

%o (PARI) suminf(k=0, 1/k!!^2)

%Y Cf. A363841 (continued fraction).

%Y Cf. A336686.

%K nonn,cons

%O 1,1

%A _Daniel Hoyt_, Jun 23 2023

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