OFFSET
0,2
COMMENTS
Binomial transform of A081680.
LINKS
Index entries for linear recurrences with constant coefficients, signature (30,-355,2070,-5944,6720).
FORMULA
G.f.: -(2068*x^4-1233*x^3+274*x^2-27*x+1)/((4*x-1)*(5*x-1)*(6*x-1)*(7*x-1)*(8*x-1)). - Colin Barker, Sep 07 2012
From Elmo R. Oliveira, Sep 13 2024: (Start)
E.g.f.: exp(4*x)*(exp(4*x) - exp(3*x) - exp(2*x) - exp(x) + 4)/2.
a(n) = 30*a(n-1) - 355*a(n-2) + 2070*a(n-3) - 5944*a(n-4) + 6720*a(n-5) for n > 4. (End)
MATHEMATICA
LinearRecurrence[{30, -355, 2070, -5944, 6720}, {1, 3, 9, 42, 399}, 30] (* Harvey P. Dale, Apr 18 2020 *)
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Mar 30 2003
EXTENSIONS
a(21)-a(22) from Elmo R. Oliveira, Sep 13 2024
STATUS
approved