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A157698
Decimal expansion of sqrt(2)*(1 + 1/sqrt(3)) + 2*sqrt(2/5 + 1/sqrt(5)).
0
4, 0, 7, 1, 5, 9, 4, 2, 7, 3, 8, 2, 0, 6, 7, 3, 1, 5, 3, 0, 6, 4, 8, 4, 7, 1, 3, 7, 5, 3, 3, 8, 3, 5, 2, 3, 7, 7, 5, 9, 6, 3, 2, 8, 4, 2, 2, 7, 2, 3, 7, 6, 2, 4, 2, 7, 2, 6, 8, 3, 9, 8, 4, 0, 8, 2, 8, 6, 8, 2, 5, 1, 3, 9, 7, 3, 4, 1, 8, 0, 2, 7, 3, 7, 8, 2, 3, 3, 5, 5, 9, 0, 1, 2, 0, 7, 7, 2, 1, 5, 4, 8, 0, 0, 4
OFFSET
1,1
LINKS
D. H. Lehmer, Interesting series involving the Central Binomial Coefficient, Am. Math. Monthly 92, no 7 (1985) 449-457.
FORMULA
Equals 4*Sum_{n>=0} binomial(8*n,4*n)/8^(4*n).
EXAMPLE
4.0715942738206731530648... = 4 * 1.017898568455...
MAPLE
sqrt(2)+sqrt(6)/3+2*sqrt(2/5+1/sqrt(5)) ;
MATHEMATICA
RealDigits[Sqrt[2] + Sqrt[6]/3 + 2*Sqrt[2/5 + 1/Sqrt[5]], 10, 100][[1]] (* G. C. Greubel, Oct 02 2018 *)
PROG
(PARI) default(realprecision, 100); sqrt(2)+sqrt(6)/3+2*sqrt(2/5+1/sqrt(5)) \\ G. C. Greubel, Oct 02 2018
(Magma) SetDefaultRealField(RealField(100)); Sqrt(2)+Sqrt(6)/3+2*Sqrt(2/5+1/Sqrt(5)); // G. C. Greubel, Oct 02 2018
CROSSREFS
Sequence in context: A354450 A199071 A351898 * A342360 A251967 A330725
KEYWORD
cons,easy,nonn
AUTHOR
R. J. Mathar, Mar 04 2009
STATUS
approved