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A334383
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Decimal expansion of Sum_{k>=0} (-1)^k/(2^k*(k!)^2).
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8
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5, 5, 9, 1, 3, 4, 1, 4, 4, 4, 1, 8, 9, 7, 9, 9, 1, 7, 4, 8, 8, 2, 6, 8, 4, 6, 7, 9, 1, 6, 8, 9, 6, 4, 0, 9, 8, 0, 6, 3, 6, 2, 5, 0, 4, 0, 3, 0, 9, 8, 3, 8, 6, 5, 7, 1, 5, 3, 1, 1, 7, 3, 4, 2, 1, 9, 7, 1, 7, 1, 2, 9, 2, 2, 8, 0, 2, 3, 1, 2, 6, 5, 1, 5, 7, 1, 0, 4, 4, 1, 9, 0, 2, 3, 4, 7, 2, 9, 4, 9, 4, 0, 8, 7, 4, 4, 9, 4, 4, 8
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OFFSET
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0,1
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LINKS
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FORMULA
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Equals BesselJ(0,sqrt(2)).
Equals BesselI(0,sqrt(2)*i), where BesselI is the modified Bessel function of order 0. - Jianing Song, Sep 18 2021
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EXAMPLE
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1/(2^0*0!^2) - 1/(2^1*1!^2) + 1/(2^2*2!^2) - 1/(2^3*3!^2) + ... = 0.5591341444189799174882684679...
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MATHEMATICA
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RealDigits[BesselJ[0, Sqrt[2]], 10, 110] [[1]]
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PROG
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CROSSREFS
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Bessel function values: A334380 (J(0,1)), this sequence (J(0,sqrt(2)), A091681 (J(0,2)), A197036 (I(0,1)), A334381 (I(0,sqrt(2)), A070910 (I(0,2)).
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KEYWORD
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AUTHOR
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STATUS
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approved
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