OFFSET
0,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..10000
Index entries for linear recurrences with constant coefficients, signature (3,-3,1).
FORMULA
a(n) = 2*a(n-2) - a(n-2) + 200.
a(n) = 50*A056220(n+1) + 1.
a(n+1) - a(n) = 200*n + 300 = 100*A144396(n+1).
G.f.: (-51 - 198*x + 49*x^2)/(x-1)^3. - R. J. Mathar, Jul 01 2011
From Elmo R. Oliveira, Oct 27 2024: (Start)
E.g.f.: exp(x)*(51 + 300*x + 100*x^2).
a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n > 2. (End)
PROG
(Magma) [(10*n+3)*(10*n+17): n in [0..40]]; // Vincenzo Librandi, Jul 28 2011
(PARI) a(n)=100*n*(n+2)+51 \\ Charles R Greathouse IV, Jul 28 2011
CROSSREFS
KEYWORD
nonn,easy,changed
AUTHOR
Paul Curtz, Dec 08 2008
STATUS
approved