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%I #22 Aug 15 2017 10:55:58
%S 0,0,0,90,630,2520,7560,18900,41580,83160,154440,270270,450450,720720,
%T 1113840,1670760,2441880,3488400,4883760,6715170,9085230,12113640,
%U 15939000,20720700,26640900,33906600,42751800,53439750,66265290,81557280,99681120,121041360,146084400
%N Bessel polynomial {y_n}'''(0).
%D J. Riordan, Combinatorial Identities, Wiley, 1968, p. 77.
%H G. C. Greubel, <a href="/A065949/b065949.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Be#Bessel">Index entries for sequences related to Bessel functions or polynomials</a>
%H <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1).
%F a(n) = 90 * C(n-3, 6) = 90 * A000579(n-3). - _Ralf Stephan_, Sep 03 2003
%F From _Colin Barker_, Aug 01 2013: (Start)
%F a(n) = ((-2+n)*(-1+n)*n*(1+n)*(2+n)*(3+n))/8.
%F G.f.: -90*x^3 / (x-1)^7. (End)
%F E.g.f.: (1/8)*x^3*(120 + 90*x + 18*x^2 + x^3)*exp(x). - _G. C. Greubel_, Aug 15 2017
%t Drop[90*Binomial[Range[40]-3,6],5] (* _Harvey P. Dale_, Sep 20 2013 *)
%o (PARI) for(n=0,50, print1(90*binomial(n+3,6), ", ")) \\ _G. C. Greubel_, Aug 15 2017
%Y Cf. A001518, A001516.
%K nonn,easy
%O 0,4
%A _N. J. A. Sloane_, Dec 08 2001
%E More terms from _Colin Barker_, Aug 01 2013
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