|
Search: id:A002190
|
|
|
| A002190 |
|
Sum_{n>=0} a(n)*x^n/n!^2 = -ln(BesselJ(0,2*sqrt(x))).
(Formerly M3651 N1484)
|
|
+0
5
|
|
| 1, 4, 33, 456, 9460, 274800, 10643745, 530052880, 32995478376, 2510382661920, 229195817258100, 24730000147369440, 3113066087894608560, 452168671458789789504, 75059305956331837485345, 14121026957032156557396000, 2988687741694684876495689040
(list; graph; listen)
|
|
|
OFFSET
|
2,2
|
|
|
REFERENCES
|
L. Carlitz, A sequence of integers related to the Bessel functions, Proc. Amewr. Math. Soc., 14 (1963), 1-9.
Stany De Smedt, On Sloane's Sequence 1484, Saitama Math. J. 15 (1997), 9-13.
Philippe Flajolet, Eric Fusy, Xavier Gourdon, Daniel Panario and Nicolas Pouyanne, A Hybrid of Darboux's Method and Singularity Analysis in Combinatorial Asymptotics, arXiv:math.CO/0606370
|
|
LINKS
|
Index entries for sequences related to Bessel functions or polynomials
|
|
CROSSREFS
|
Sequence in context: A052885 A119821 A102321 this_sequence A101981 A002018 A072754
Adjacent sequences: A002187 A002188 A002189 this_sequence A002191 A002192 A002193
|
|
KEYWORD
|
nonn,nice
|
|
AUTHOR
|
njas
|
|
EXTENSIONS
|
More terms and better definition from Vladeta Jovovic (vladeta(AT)Eunet.yu), Jul 16 2006
|
|
|
Search completed in 0.002 seconds
|
