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A065949 Bessel polynomial {y_n}'''(0). 1
0, 0, 0, 90, 630, 2520, 7560, 18900, 41580, 83160, 154440, 270270, 450450, 720720, 1113840, 1670760, 2441880, 3488400, 4883760, 6715170, 9085230, 12113640, 15939000, 20720700, 26640900, 33906600, 42751800, 53439750, 66265290, 81557280, 99681120, 121041360, 146084400 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,4
REFERENCES
J. Riordan, Combinatorial Identities, Wiley, 1968, p. 77.
LINKS
FORMULA
a(n) = 90 * C(n-3, 6) = 90 * A000579(n-3). - Ralf Stephan, Sep 03 2003
From Colin Barker, Aug 01 2013: (Start)
a(n) = ((-2+n)*(-1+n)*n*(1+n)*(2+n)*(3+n))/8.
G.f.: -90*x^3 / (x-1)^7. (End)
E.g.f.: (1/8)*x^3*(120 + 90*x + 18*x^2 + x^3)*exp(x). - G. C. Greubel, Aug 15 2017
MATHEMATICA
Drop[90*Binomial[Range[40]-3, 6], 5] (* Harvey P. Dale, Sep 20 2013 *)
PROG
(PARI) for(n=0, 50, print1(90*binomial(n+3, 6), ", ")) \\ G. C. Greubel, Aug 15 2017
CROSSREFS
Sequence in context: A203780 A295982 A367093 * A224541 A051695 A304165
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Dec 08 2001
EXTENSIONS
More terms from Colin Barker, Aug 01 2013
STATUS
approved

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Last modified March 29 09:44 EDT 2024. Contains 371268 sequences. (Running on oeis4.)