CS Knowledge Base

The OEIS is supported by the many generous donors to the OEIS Foundation.

A061441

Denominators of coefficients of even powers of x of the expansion of Bessel function J_10(x).

3715891200, 163499212800, 15695924428800, 2448564210892800, 548478383239987200, 164543514971996160000, 63184709749246525440000, 30075921840641346109440000, 17323730980209415359037440000, 11849431990463240105581608960000, 9479545592370592084465287168000000

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,1

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..219 (terms 0..50 from T. D. Noe)

Index entries for sequences related to Bessel functions or polynomials.

FORMULA

From Amiram Eldar, Jul 23 2026: (Start)

a(n) = 2^(2n+10) * n! * (n+10)!.

a(n) ~ Pi * (2*n)^(2*n+11) / exp(2*n).

Sum_{n>=0} 1/a(n) = BesselI(10,1).

Sum_{n>=0} (-1)^n/a(n) = BesselJ(10,1). (End)

MATHEMATICA

Denominator[Take[CoefficientList[Series[BesselJ[10, x], {x, 0, 50}], x], {11, -1, 2}]] (* G. C. Greubel, Aug 15 2017 *)

CROSSREFS

Cf. A002474 (J_1), A002506 (J_2), A014401 (J_3), A061403 (J_4), A061404 (J_5), A061405 (J_6), A061406 (J_7), A061407 (J_8), A061440 (J_9), this sequence (J_10).

Sequence in context: A283458 A234433 A219677 * A135915 A104330 A233607

Adjacent sequences: A061438 A061439 A061440 * A061442 A061443 A061444

KEYWORD

nonn,easy

AUTHOR

Frank Ellermann, Jun 11 2001

STATUS

approved