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A145436 Decimal expansion of sum_{n=0..inf} (-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.

LINKS

Table of n, a(n) for n=0..92.

FORMULA

A013661-3*A002390^2.

EXAMPLE

0.9502396051166432589..

MAPLE

1/6*Pi^2-3*ln(1/2+1/2*5^(1/2))^2 ;

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

Adjacent sequences:  A145433 A145434 A145435 * A145437 A145438 A145439

KEYWORD

cons,easy,nonn

AUTHOR

R. J. Mathar, Feb 08 2009

STATUS

approved

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Last modified May 20 23:05 EDT 2022. Contains 353886 sequences. (Running on oeis4.)