OFFSET
1,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).
FORMULA
G.f.: x*(2 + 15*x + 6*x^2 + x^3)/(1 - x)^4. - Vincenzo Librandi, Feb 12 2013
a(n) = 4*a(n-1)-6*a(n-2)+4*a(n-3)-a(n-4). - Vincenzo Librandi, Feb 12 2013
MATHEMATICA
CoefficientList[Series[(2 + 15 x + 6 x^2 + x^3)/(1 - x)^4, {x, 0, 40}], x] (* Vincenzo Librandi, Feb 12 2013 *)
Table[4n^3-3n^2+2n-1, {n, 40}] (* or *) LinearRecurrence[{4, -6, 4, -1}, {2, 23, 86, 215}, 40] (* Harvey P. Dale, May 05 2018 *)
PROG
(Magma) [4*n^3-3*n^2+2*n-1: n in [1..40]]; /* or */ I:=[2, 23, 86, 215]; [n le 4 select I[n] else 4*Self(n-1)-6*Self(n-2)+4*Self(n-3)-Self(n-4): n in [1..40]]; // Vincenzo Librandi, Feb 12 2013
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Mohammad K. Azarian, Jul 26 2007
STATUS
approved