OFFSET
0,4
COMMENTS
Inverse binomial transform of A081680.
LINKS
Index entries for linear recurrences with constant coefficients, signature (20,-155,580,-1044,720).
FORMULA
G.f.: (1-19*x+136*x^2-429*x^3+498*x^4)/((1-2*x)*(1-3*x)*(1-4*x)*(1-5*x)*(1-6*x)). - Bruno Berselli, Dec 15 2010
From Elmo R. Oliveira, Sep 12 2024: (Start)
E.g.f.: exp(2*x)*(exp(4*x) - exp(3*x) - exp(2*x) - exp(x) + 4)/2.
a(n) = 20*a(n-1) - 155*a(n-2) + 580*a(n-3) - 1044*a(n-4) + 720*a(n-5) for n > 4. (End)
MATHEMATICA
LinearRecurrence[{20, -155, 580, -1044, 720}, {1, 1, 1, 16, 199}, 40] (* Harvey P. Dale, Jan 20 2022 *)
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Mar 30 2003
STATUS
approved