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A002506
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Denominators of coefficients of expansion of Bessel function J_2(x).
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11
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8, 96, 3072, 184320, 17694720, 2477260800, 475634073600, 119859786547200, 38355131695104000, 15188632151261184000, 7290543432605368320000, 4170190843450270679040000, 2802368246798581896314880000
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OFFSET
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0,1
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REFERENCES
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Bronstein-Semendjajew, Taschenbuch der Mathematik, 7th German ed. 1965, ch. 4.4.7
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LINKS
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FORMULA
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a(n) = 2^(2n+k) * n! * (n+k)! here for k=2, i.e., Bessel's J2(x).
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EXAMPLE
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a(2) = 3072 = 64*2*24, J2(x) = x^2/8 - x^4/96 + x^6/3072 - x^8/184320 +- ...
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MATHEMATICA
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Denominator[Take[CoefficientList[Series[BesselJ[2, x], {x, 0, 30}], x], {3, -1, 2}]] (* Harvey P. Dale, Sep 21 2013 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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