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 A001880 Coefficients of Bessel polynomials y_n (x). (Formerly M4989 N2146) 11
 1, 15, 210, 3150, 51975, 945945, 18918900, 413513100, 9820936125, 252070693875, 6957151150950, 205552193096250, 6474894082531875, 216659917377028125, 7675951358500425000, 287080580807915895000, 11303797869311688365625, 467445288360359818884375 (list; graph; refs; listen; history; text; internal format)
 OFFSET 4,2 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). LINKS T. D. Noe, Table of n, a(n) for n = 4..100 Selden Crary, Richard Diehl Martinez, Michael Saunders, The Nu Class of Low-Degree-Truncated Rational Multifunctions. Ib. Integrals of Matern-correlation functions for all odd-half-integer class parameters, arXiv:1707.00705 [stat.ME], 2017, Table 1. J. Riordan, Notes to N. J. A. Sloane, Jul. 1968 FORMULA E.g.f.: x*(1 + x/2)/(1 - 2*x)^(7/2); or, if shifted, (1+ 6x+ 3x^2/2!) / (1-2x)^(9/2). a(n) = (2*n-4)!/(4!*(n-4)!*2^(n-4)). (n-4)*a(n) = (n-2)*(2*n-5)*a(n-1) for n = 5, 6, .. , with a(4) = 1. - Johannes W. Meijer, May 24 2009 G.f.: x^4*2F0(5/2,3;;2x). - R. J. Mathar, Aug 08 2015 MATHEMATICA nn = 25; t = Range[0, nn]! CoefficientList[Series[x (1 + x/2)/(1 - 2 x)^(7/2), {x, 0, nn}], x]; Drop[t, 1] (* T. D. Noe, Aug 10 2012 *) PROG (PARI) x='x+O('x^50); Vec(serlaplace(x*(1 + x/2)/(1 - 2*x)^(7/2))) \\ G. C. Greubel, Aug 13 2017 CROSSREFS See A001518. Column 4 of triangle A001497. Equals the second right hand column of the triangles A094665 and A083061. Other right hand columns are A001147, A160470, A160471 and A160472. Sequence in context: A170696 A170734 A186231 * A240682 A113362 A252875 Adjacent sequences:  A001877 A001878 A001879 * A001881 A001882 A001883 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified October 17 03:15 EDT 2018. Contains 316275 sequences. (Running on oeis4.)