OFFSET
0,2
COMMENTS
Binomial transform of A081679.
LINKS
Harvey P. Dale, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (25,-245,1175,-2754,2520).
FORMULA
G.f.: -(1083*x^4-762*x^3+199*x^2-23*x+1)/((3*x-1)*(4*x-1)*(5*x-1)*(6*x-1)*(7*x-1)). [Colin Barker, Sep 07 2012]
From Elmo R. Oliveira, Sep 13 2024: (Start)
E.g.f.: exp(3*x)*(exp(4*x) - exp(3*x) - exp(2*x) - exp(x) + 4)/2.
a(n) = 25*a(n-1) - 245*a(n-2) + 1175*a(n-3) - 2754*a(n-4) + 2520*a(n-5) for n > 4. (End)
MATHEMATICA
LinearRecurrence[{25, -245, 1175, -2754, 2520}, {1, 2, 4, 23, 274}, 30] (* Harvey P. Dale, Feb 19 2018 *)
CROSSREFS
KEYWORD
easy,nonn,changed
AUTHOR
Paul Barry, Mar 30 2003
EXTENSIONS
a(21)-a(23) from Elmo R. Oliveira, Sep 13 2024
STATUS
approved