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A002474 Denominators of coefficients of odd powers of x of the expansion of Bessel function J_1(x). 13
2, 16, 384, 18432, 1474560, 176947200, 29727129600, 6658877030400, 1917756584755200, 690392370511872000, 303772643025223680000, 160391955517318103040000, 100084580242806496296960000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

The corresponding numerators are A033999(n) = (-1)^n.

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 to divisibility sequences

Index entries for sequences related to Bessel functions or polynomials

FORMULA

a(n)= 2^(2n+k) * n! * (n+k)! here for k=1, i.e., Bessel's J1(x) has the denominator a(n) for the coefficient of x^(2*n+1), n >= 0.

EXAMPLE

a(3)= 18432= 128*6*24, J1(x)= x/2 -x^3/16 +x^5/384 -x^7/18432 +-...

MATHEMATICA

Series[ BesselJ[ 1, x ], {x, 0, 30} ]

CROSSREFS

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: A140308 A280723 A052737 * A172149 A295710 A012390

Adjacent sequences:  A002471 A002472 A002473 * A002475 A002476 A002477

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Name specified, numerators given, formula augmented. - Wolfdieter Lang, Aug 25 2015

STATUS

approved

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Last modified February 16 18:53 EST 2019. Contains 320165 sequences. (Running on oeis4.)