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A103130 Decimal expansion of Integrate[(1 - x)/((1 + x y) (Log[x y])^2),{y,0,1},{x,0,1}]. +0
2
2, 5, 6, 2, 2, 0, 0, 9, 4, 4, 7, 4, 1, 3, 6, 1, 3, 4, 7, 0, 1, 7, 9, 4, 1, 6, 2, 0, 9, 8, 6, 7, 3, 8, 8, 2, 9, 8, 6, 4, 4, 8, 8, 6, 5, 0, 4, 8, 5, 6, 8, 6, 9, 1, 2, 8, 1, 8, 1, 8, 6, 9, 6, 1, 3, 7, 9, 3, 4, 5, 2, 3, 9, 7, 7, 2, 3, 2, 2, 4, 1, 5, 7, 5, 4, 5, 5, 0, 2, 2, 3, 0, 3, 6, 4, 2, 2, 5, 1, 6, 1, 5 (list; cons; graph; listen)
OFFSET

0,1

REFERENCES

J. Sondow, Double Integrals for Euler's Constant and ln(4/Pi) and an Analog of Hadjicostas's Formula, Amer. Math. Monthly 112 (2005) 61-65.

LINKS

Eric Weisstein's World of Mathematics, Hadjicostas's Formula

J. Sondow, Double Integrals for Euler's Constant and ln(4/Pi) and an Analog of Hadjicostas's Formula.

FORMULA

Log[(Sqrt[Pi]*Glaisher^6)/(2^(7/6)*E)]

EXAMPLE

0.256220094...

CROSSREFS

Cf. A094640.

Sequence in context: A086038 A134387 A145058 this_sequence A159987 A143678 A021800

Adjacent sequences: A103127 A103128 A103129 this_sequence A103131 A103132 A103133

KEYWORD

nonn,cons

AUTHOR

Eric Weisstein (eric(AT)weisstein.com), Jan 23, 2005

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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