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A145436 Decimal expansion of Sum_{n>=0} (-1)^n/((2n+1)^2*binomial(2n,n)). 2
9, 5, 0, 2, 3, 9, 6, 0, 5, 1, 1, 6, 6, 4, 3, 2, 5, 8, 9, 8, 1, 6, 2, 7, 9, 5, 2, 9, 5, 1, 4, 2, 6, 9, 0, 9, 1, 6, 9, 7, 3, 0, 8, 5, 1, 0, 5, 8, 9, 0, 1, 8, 2, 5, 2, 8, 9, 6, 5, 4, 5, 4, 3, 3, 0, 0, 6, 2, 1, 4, 3, 3, 7, 0, 2, 3, 1, 5, 4, 3, 4, 8, 7, 8, 4, 6, 5, 2, 5, 9, 3, 6, 0 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,1
REFERENCES
Alexander Apelblat, Tables of Integrals and Series, Harri Deutsch, (1996), 4.1.45.
Bruce C. Berndt, Ramanujan's Notebooks, Part 1, Springer-Verlag, 1985, Chapter 9, p. 289, eq. (vii).
LINKS
FORMULA
Equals A013661 - 3*A002390^2.
EXAMPLE
0.95023960511664325898162795295142690916973085105890...
MAPLE
1/6*Pi^2-3*ln(1/2+1/2*5^(1/2))^2 ;
MATHEMATICA
RealDigits[Zeta[2] - 3 * Log[GoldenRatio]^2, 10, 120][[1]] (* Amiram Eldar, May 06 2023 *)
PROG
(PARI) Pi^2/6-3*log(1/2+sqrt(5)/2)^2 \\ Charles R Greathouse IV, Sep 13 2013
CROSSREFS
Sequence in context: A293100 A195360 A177973 * A199509 A266558 A199869
KEYWORD
cons,easy,nonn
AUTHOR
R. J. Mathar, Feb 08 2009
STATUS
approved

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Last modified March 29 00:26 EDT 2024. Contains 371264 sequences. (Running on oeis4.)