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A014401 Denominators of coefficients of expansion of Bessel function J_3(x). +0
11
48, 768, 30720, 2211840, 247726080, 39636172800, 8561413324800, 2397195730944000, 843812897292288000, 364527171630268416000, 189554129247739576320000, 116765343616607579013120000 (list; graph; listen)
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=3, i.e. Bessel's J3(x)

EXAMPLE

a(1)= 768= 32*24, J3(x)= x^3/48 -x^5/768 +x^7/30720 -x^9/2211840 +-...

MATHEMATICA

Series[ BesselJ[ 3, x ], {x, 0, 30} ]

CROSSREFS

J0: A002454, J1: A002474, J2: A002506.

Adjacent sequences: A014398 A014399 A014400 this_sequence A014402 A014403 A014404

Sequence in context: A102279 A132464 A105948 this_sequence A014703 A089903 A010839

KEYWORD

nonn

AUTHOR

njas

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Last modified October 12 15:26 EDT 2008. Contains 144830 sequences.


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