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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; text; 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).

a(n) -4*n*(n+2)*a(n-1)=0. - R. J. Mathar, Jun 20 2013

EXAMPLE

a(2)= 3072= 64*2*24, J2(x)= x^2/8 -x^4/96 +x^6/3072 -x^8/184320 +-...

MATHEMATICA

Denominator[Take[CoefficientList[Series[BesselJ[2, x], {x, 0, 30}], x], {3, -1, 2}]] (* Harvey P. Dale, Sep 21 2013 *)

CROSSREFS

J0: A002454, J1: A002474, J3: A014401.

Sequence in context: A052127 A300474 A317005 * A318012 A320398 A218451

Adjacent sequences:  A002503 A002504 A002505 * A002507 A002508 A002509

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Previous Mathematica program corrected by Harvey P. Dale, Sep 21 2013

STATUS

approved

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Last modified September 29 16:13 EDT 2020. Contains 337432 sequences. (Running on oeis4.)