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A145429
Decimal expansion of Sum_{n > 0} n*(n!)^2/(2n)!.
2
1, 0, 6, 9, 7, 3, 3, 1, 9, 2, 0, 5, 2, 0, 4, 8, 4, 1, 1, 2, 4, 3, 1, 2, 8, 5, 0, 1, 6, 9, 8, 2, 5, 6, 8, 2, 9, 3, 9, 6, 4, 5, 9, 1, 6, 6, 2, 4, 2, 8, 3, 1, 2, 3, 9, 0, 1, 5, 5, 2, 9, 9, 8, 5, 6, 4, 1, 8, 0, 5, 1, 5, 1, 3, 6, 1, 4, 1, 1, 9, 7, 4, 1, 5, 2, 0, 2, 7, 7, 7, 5, 1, 5
OFFSET
1,3
COMMENTS
Also, decimal expansion of Sum_{n >= 0} n/binomial(2*n, n). - Bruno Berselli, Sep 14 2015
REFERENCES
Alexander Apelblat, Tables of Integrals and Series, Harri Deutsch, (1996), 4.1.35.
FORMULA
Equals 10*A021139*(9+A000796*A002194).
From Amiram Eldar, Nov 16 2021: (Start)
Equals 2/3 + 2*Pi/(9*sqrt(3)).
Equals 1 + Integral_{x>=1} 1/(x^2 + x + 1)^2 dx. (End)
EXAMPLE
1.069733192052..
MAPLE
2/3+2/27*Pi*3^(1/2) ;
MATHEMATICA
RealDigits[2/3 + 2*Pi/(9*Sqrt[3]), 10, 100][[1]] (* Amiram Eldar, Nov 16 2021 *)
CROSSREFS
Cf. A010722 (decimal expansion of Sum_{n >= 0} n/binomial(2*n+1, n)).
Sequence in context: A283743 A339764 A229921 * A194789 A273082 A065414
KEYWORD
nonn,cons,easy,changed
AUTHOR
R. J. Mathar, Feb 08 2009
STATUS
approved