|
| |
|
|
A002506
|
|
Denominators of coefficients of expansion of Bessel function J_2(x).
|
|
11
| |
|
|
8, 96, 3072, 184320, 17694720, 2477260800, 475634073600, 119859786547200, 38355131695104000, 15188632151261184000, 7290543432605368320000, 4170190843450270679040000, 2802368246798581896314880000
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,1
|
|
|
REFERENCES
| Bronstein-Semendjajew, Taschenbuch der Mathematik, 7th german ed. 1965, ch. 4.4.7
|
|
|
LINKS
| T. D. Noe, Table of n, a(n) for n=0..50
Index entries for sequences related to Bessel functions or polynomials
|
|
|
FORMULA
| a(n)= 2^(2n+k) * n! * (n+k)! here for k=2, i.e. Bessel's J2(x)
|
|
|
EXAMPLE
| a(2)= 3072= 64*2*24, J2(x)= x^2/8 -x^4/96 +x^6/3072 -x^8/184320 +-...
|
|
|
MATHEMATICA
| Series[ BesselJ[ 2, x ], {x, 0, 30} ]
|
|
|
CROSSREFS
| J0: A002454, J1: A002474, J3: A014401.
Sequence in context: A002168 A114425 A052127 * A083182 A116267 A183334
Adjacent sequences: A002503 A002504 A002505 * A002507 A002508 A002509
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
| |
|
|
