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A334380
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Decimal expansion of Sum_{k>=0} (-1)^k/((2*k)!!)^2.
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9
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7, 6, 5, 1, 9, 7, 6, 8, 6, 5, 5, 7, 9, 6, 6, 5, 5, 1, 4, 4, 9, 7, 1, 7, 5, 2, 6, 1, 0, 2, 6, 6, 3, 2, 2, 0, 9, 0, 9, 2, 7, 4, 2, 8, 9, 7, 5, 5, 3, 2, 5, 2, 4, 1, 8, 6, 1, 5, 4, 7, 5, 4, 9, 1, 1, 9, 2, 7, 8, 9, 1, 2, 2, 1, 5, 2, 7, 2, 4, 4, 0, 1, 6, 7, 1, 8, 0, 6, 0, 0, 0, 9, 8, 9, 1, 5, 6, 3, 3, 9, 7, 4, 9, 2, 9, 2, 5, 9, 8, 2
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OFFSET
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0,1
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COMMENTS
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This constant is transcendental.
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LINKS
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FORMULA
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Equals BesselJ(0,1).
Equals BesselI(0,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/(4^0*0!^2) - 1/(4^1*1!^2) + 1/(4^2*2!^2) - 1/(4^3*3!^2) + ... = 0.765197686557966551449717526...
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MATHEMATICA
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RealDigits[BesselJ[0, 1], 10, 110] [[1]]
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PROG
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CROSSREFS
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Bessel function values: this sequence (J(0,1)), A334383 (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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