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Search: id:A002474
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| A002474 |
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Denominators of coefficients of expansion of Bessel function J_1(x). |
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+0
12
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| 2, 16, 384, 18432, 1474560, 176947200, 29727129600, 6658877030400, 1917756584755200, 690392370511872000, 303772643025223680000, 160391955517318103040000, 100084580242806496296960000
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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=1, i.e. Bessel's J1(x)
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EXAMPLE
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a(3)= 18432= 128*6*24, J1(x)= x/2 -x^3/16 +x^5/384 -x^7/18432 +-...
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MATHEMATICA
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Series[ BesselJ[ 1, x ], {x, 0, 30} ]
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CROSSREFS
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Cf. J_0: A002454, J_2: A002506, J_3: A014401, J_4: A061403, J_5: A061404, J_6: A061405, J_7: A061407, J_9: A061440 J_10: A061441
Equals 2^(2n+1) A010790.
Sequence in context: A068471 A140308 A052737 this_sequence A012390 A009613 A012388
Adjacent sequences: A002471 A002472 A002473 this_sequence A002475 A002476 A002477
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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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