OFFSET
0,4
COMMENTS
Inverse binomial transform of A081685.
LINKS
Index entries for linear recurrences with constant coefficients, signature (15,-85,225,-274,120).
FORMULA
G.f.: (-1-254*x^4+266*x^3-99*x^2+16*x)/((x-1)*(4*x-1)*(3*x-1)*(2*x-1)*(5*x-1)) [From Maksym Voznyy (voznyy(AT)mail.ru), Jul 27 2009]
From Elmo R. Oliveira, Sep 12 2024: (Start)
E.g.f.: exp(x)*(exp(4*x) - exp(3*x) - exp(2*x) - exp(x) + 3).
a(n) = 15*a(n-1) - 85*a(n-2) + 225*a(n-3) - 274*a(n-4) + 120*a(n-5) for n > 4. (End)
MATHEMATICA
Table[5^n-4^n-3^n-2^n+3, {n, 0, 40}] (* Harvey P. Dale, Apr 01 2011 *)
CROSSREFS
KEYWORD
easy,sign
AUTHOR
Paul Barry, Mar 30 2003
EXTENSIONS
a(24)-a(25) from Elmo R. Oliveira, Sep 12 2024
STATUS
approved