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A001880
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Coefficients of Bessel polynomials y_n (x).
(Formerly M4989 N2146)
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9
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1, 15, 210, 3150, 51975, 945945, 18918900, 413513100, 9820936125, 252070693875, 6957151150950, 205552193096250, 6474894082531875, 216659917377028125
(list; graph; refs; listen; history; internal format)
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OFFSET
| 4,2
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REFERENCES
| J. Riordan, Combinatorial Identities, Wiley, 1968, p. 77.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| Index entries for sequences related to Bessel functions or polynomials
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FORMULA
| E.g.f.: x(1 + x/2)/(1 - 2x)^{7/2}; or, if shifted, (1+ 6x+ 3x^2/2!) / (1-2x)^(9/2).
(2n-4)!/ [4!*(n-4)!*2^(n-4) ].
Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), May 24 2009: (Start)
a(n) = (2*n^2-9*n+10)*a(n-1)/(n-4) for n = 5, 6, .. , with a(4) = 1.
(End)
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CROSSREFS
| See A001518.
Column 4 of triangle A001497.
Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), May 24 2009: (Start)
Equals the second right hand column of the triangles A094665 and A083061. Other right hand columns are A001147, A160470, A160471 and A160472.
(End)
Sequence in context: A170696 A170734 A186231 * A113362 A135519 A179091
Adjacent sequences: A001877 A001878 A001879 * A001881 A001882 A001883
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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