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Decimal expansion of Sum_{n>=0} (n!/(n+3)!)^2.
0

%I #12 Jun 19 2023 06:41:00

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

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

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

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

%D Alexander Apelblat, Tables of Integrals and Series, Harri Deutsch, (1996), 4.1.32.

%F Equals A091476 - 2.4375.

%e 0.0299011002723396547...

%p 1/4*Pi^2-39/16 ;

%t RealDigits[Pi^2/4 - 39/16, 10, 120, -1][[1]] (* _Amiram Eldar_, Jun 19 2023 *)

%Y Cf. A091476, A145426.

%K cons,easy,nonn

%O 0,2

%A _R. J. Mathar_, Feb 08 2009