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Search: id:A002506
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| A002506 |
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Denominators of coefficients of expansion of Bessel function J_2(x). |
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+0
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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T. D. Noe, Table of n, a(n) for n=0..50
Index entries for sequences related to Bessel functions or polynomials
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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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Series[ BesselJ[ 2, x ], {x, 0, 30} ]
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CROSSREFS
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J0: A002454, J1: A002474, J3: A014401.
Adjacent sequences: A002503 A002504 A002505 this_sequence A002507 A002508 A002509
Sequence in context: A002168 A114425 A052127 this_sequence A083182 A116267 A116130
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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