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A172044 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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

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)= +3*a(n-1) -3*a(n-2) +a(n-3). G.f.: (-1-14*x+5*x^2)/(x-1)^3. - R. J. Mathar, Jan 04 2011

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

Adjacent sequences:  A172041 A172042 A172043 * A172045 A172046 A172047

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Jan 29 2010

STATUS

approved

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Last modified December 7 13:08 EST 2021. Contains 349581 sequences. (Running on oeis4.)