OFFSET
0,4
REFERENCES
J. Riordan, Combinatorial Identities, Wiley, 1968, p. 77.
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).
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
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Dec 08 2001
EXTENSIONS
More terms from Colin Barker, Aug 01 2013
STATUS
approved