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A258619
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Decimal expansion of Sum_{k>=0} (1/A055209(k)).
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2
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2, 2, 5, 6, 9, 5, 6, 5, 0, 1, 6, 0, 8, 8, 5, 1, 4, 9, 5, 0, 2, 8, 4, 5, 7, 6, 3, 7, 0, 7, 7, 6, 5, 4, 8, 5, 1, 5, 6, 7, 6, 6, 3, 5, 1, 4, 3, 7, 5, 5, 7, 5, 9, 2, 4, 9, 8, 8, 4, 6, 7, 5, 4, 0, 5, 5, 8, 2, 8, 8, 8, 2, 8, 4, 3, 1, 7, 8, 8, 7, 2, 9, 6, 3, 7, 4, 3, 3, 2, 8, 5, 7, 3, 7, 9, 5, 5, 4, 4, 9, 7, 2, 4, 3, 6
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OFFSET
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1,1
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LINKS
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EXAMPLE
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2.2569565016088514950284576370776548515676635143755759249....
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MATHEMATICA
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RealDigits[Sum[1/BarnesG[k + 2]^2, {k, 0, 80}], 10, 100][[1]] (* G. C. Greubel, Nov 28 2018 *)
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PROG
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(Sage)
return prod(factorial(i)^(2) for i in (0..n))
N(sum(1/A055209(n) for n in (0..12)), digits=105)
(Magma) SetDefaultRealField(RealField(100)); b:=[1] cat [(&*[(Factorial(k))^2: k in [1..n]]): n in [1..60]]; (&+[1.0/b[k]: k in [1..50]]); // G. C. Greubel, Nov 28 2018
(PARI) default(realprecision, 100); sum(n=0, 50, 1.0/prod(i=0, n, i!)^2) \\ G. C. Greubel, Nov 28 2018
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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