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A091681
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Decimal expansion of BesselJ(0,2).
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22
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2, 2, 3, 8, 9, 0, 7, 7, 9, 1, 4, 1, 2, 3, 5, 6, 6, 8, 0, 5, 1, 8, 2, 7, 4, 5, 4, 6, 4, 9, 9, 4, 8, 6, 2, 5, 8, 2, 5, 1, 5, 4, 4, 8, 2, 2, 1, 8, 6, 0, 7, 6, 0, 3, 1, 2, 8, 3, 4, 9, 7, 0, 6, 0, 1, 0, 8, 5, 3, 9, 5, 7, 7, 6, 8, 0, 1, 0, 7, 0, 5, 0, 1, 4, 8, 1, 1, 5, 1, 1, 8, 5, 3, 4, 2, 9, 3, 6, 6, 0, 4, 9
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OFFSET
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0,1
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COMMENTS
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LINKS
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FORMULA
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Equals Sum_{k>=0} (-1)^k/(k!)^2.
Continued fraction expansion: BesselJ(0,2) = 1/(4 + 4/(8 + 9/(15 + ... + (n - 1)^2/(n^2 + 1 + ...)))). See A073701 for a proof. - Peter Bala, Feb 01 2015
Equals BesselI(0,2*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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0.223890779...
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MATHEMATICA
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RealDigits[N[BesselJ[0, 2], 250]][[1]] (* G. C. Greubel, Dec 26 2016 *)
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PROG
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CROSSREFS
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Bessel function values: A334380 (J(0,1)), A334383 (J(0,sqrt(2)), this sequence (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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