OFFSET
0,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (3,-3,1).
FORMULA
G.f. 5*(25-32*x+13*x^2) / (1-x)^3 . - R. J. Mathar, Apr 03 2012
a(n) = 3*a(n-1) -3*a(n-2) +a(n-3). - Vincenzo Librandi, Jul 07 2012
MATHEMATICA
CoefficientList[Series[5*(25-32*x+13*x^2)/(1-x)^3, {x, 0, 50}], x] (* Vincenzo Librandi, Jul 07 2012 *)
LinearRecurrence[{3, -3, 1}, {125, 215, 335}, 40] (* Harvey P. Dale, Mar 30 2018 *)
PROG
(Magma) [((n+5)^3 - n^3): n in [0..50]]; // Vincenzo Librandi, Jul 07 2012
(PARI) a(n)=(n+5)^3-n^3 \\ Charles R Greathouse IV, Jun 17 2017
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
EXTENSIONS
G.f.: adapted to the offset 0 and added 125 by Vincenzo Librandi, Jul 07 2012
STATUS
approved