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A172044
a(n) = 5*n^2 + 11*n + 1.
1
1, 17, 43, 79, 125, 181, 247, 323, 409, 505, 611, 727, 853, 989, 1135, 1291, 1457, 1633, 1819, 2015, 2221, 2437, 2663, 2899, 3145, 3401, 3667, 3943, 4229, 4525, 4831, 5147, 5473, 5809, 6155, 6511, 6877, 7253, 7639, 8035, 8441, 8857, 9283, 9719, 10165, 10621, 11087
OFFSET
0,2
FORMULA
From R. J. Mathar, Jan 04 2011: (Start)
a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3).
G.f.: (-1-14*x+5*x^2)/(x-1)^3. (End)
E.g.f.: exp(x)*(1 + 16*x + 5*x^2). - Elmo R. Oliveira, Oct 19 2024
MATHEMATICA
Table[5 n^2 + 11 n + 1, {n, 0, 30}] (* or *) CoefficientList[Series[(-1 - 14 x + 5 x^2)/(x - 1)^3, {x, 0, 30}], x] (* Vincenzo Librandi, Aug 20 2014 *)
PROG
(Magma) [5*n^2+11*n+1: n in [0..50]]; // Vincenzo Librandi, Aug 20 2014
(PARI) a(n)=5*n^2+11*n+1 \\ Charles R Greathouse IV, Jun 17 2017
CROSSREFS
Sequence in context: A109998 A328998 A031340 * A098072 A130467 A112885
KEYWORD
nonn,easy,changed
AUTHOR
Vincenzo Librandi, Jan 29 2010
STATUS
approved