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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

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

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

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms and better definition from Vladeta Jovovic (vladeta(AT)eunet.rs), Jul 16 2006

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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