OFFSET
0,3
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
a(n) = n*(61*n - 59)/2.
G.f.: x*(1 + 60*x)/(1-x)^3. - Bruno Berselli, Feb 04 2011
a(0)=0, a(1)=1, a(2)=63, a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3). - Harvey P. Dale, Jun 09 2011
E.g.f.: exp(x)*(x + 61*x^2/2). - Nikolaos Pantelidis, Feb 10 2023
MATHEMATICA
Table[n(61n - 59)/2, {n, 0, 50}] (* Stefan Steinerberger, Feb 28 2006 *)
LinearRecurrence[{3, -3, 1}, {0, 1, 63}, 50] (* Harvey P. Dale, Jun 09 2011 *)
CoefficientList[Series[x (1 + 60 x) / (1 - x)^3, {x, 0, 40}], x] (* Vincenzo Librandi, Aug 16 2017 *)
PROG
(PARI) a(n)=n*(61*n-59)/2 \\ Charles R Greathouse IV, Jun 17 2017
(Magma) [(61*n^2-59*n)/2: n in [0..40]]; // Vincenzo Librandi, Aug 16 2017
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Parthasarathy Nambi, Oct 25 2004
EXTENSIONS
More terms from Stefan Steinerberger, Feb 28 2006
Offset corrected by Eric Rowland, Aug 15 2017
STATUS
approved