Search: id:A002474
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%I A002474
%S A002474 2,16,384,18432,1474560,176947200,29727129600,6658877030400,
%T A002474 1917756584755200,690392370511872000,303772643025223680000,
%U A002474 160391955517318103040000,100084580242806496296960000
%N A002474 Denominators of coefficients of expansion of Bessel function J_1(x).
%D A002474 Bronstein-Semendjajew, Taschenbuch der Mathematik, 7th german ed. 1965, 
               ch. 4.4.7
%H A002474 T. D. Noe, <a href="b002474.txt">Table of n, a(n) for n=0..50</a>
%H A002474 <a href="Sindx_Be.html#Bessel">Index entries for sequences related to 
               Bessel functions or polynomials</a>
%F A002474 a(n)= 2^(2n+k) * n! * (n+k)! here for k=1, i.e. Bessel's J1(x)
%e A002474 a(3)= 18432= 128*6*24, J1(x)= x/2 -x^3/16 +x^5/384 -x^7/18432 +-...
%t A002474 Series[ BesselJ[ 1, x ], {x, 0, 30} ]
%Y A002474 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
%Y A002474 Equals 2^(2n+1) A010790.
%Y A002474 Sequence in context: A068471 A140308 A052737 this_sequence A012390 A009613 
               A012388
%Y A002474 Adjacent sequences: A002471 A002472 A002473 this_sequence A002475 A002476 
               A002477
%K A002474 nonn
%O A002474 0,1
%A A002474 N. J. A. Sloane (njas(AT)research.att.com).

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