PROG
(MAGMAMagma) [16*n^2-27*n+12: n in [1..50]]; // Vincenzo Librandi, Nov 08 2014
The OEIS is supported by the many generous donors to the OEIS Foundation.
(MAGMAMagma) [16*n^2-27*n+12: n in [1..50]]; // Vincenzo Librandi, Nov 08 2014
editing
approved
LinearRecurrence[{3, -3, 1}, {1, 22, 75}, 40] (* Harvey P. Dale, Sep 26 2020 *)
approved
editing
reviewed
approved
proposed
reviewed
editing
proposed
G. C. Greubel, <a href="/A143838/b143838.txt">Table of n, a(n) for n = 1..1000</a>
a(n) = 16n16*n^2 -27n 27*n + 12, n>0. - R. J. Mathar, Sep 04 2008
G.f.: x*(1 + 19*x + 12*x^2)/(1-x)^3. - Colin Barker, Aug 03 2012
E.g.f.: -12 + (12 - 11*x + 16*x^2)*exp(x). - G. C. Greubel, Nov 09 2019
seq( ((32*n-27)^2 +39)/64, n=1..50); # G. C. Greubel, Nov 09 2019
f[n_] := 16n^2 -27n +12; Array[f, 40] (* Vladimir Joseph Stephan Orlovsky, Sep 02 2008 *)
CoefficientList[Series[(1 + 19 x 19x+ 12 x12x^2) / (1 - x)^3, {x, 0, 40}], x] (* Vincenzo Librandi, Nov 08 2014 *)
((32*Range[50]-27)^2 +39)/64 (* G. C. Greubel, Nov 09 2019 *)
(Sage) [((32*n-27)^2 +39)/64 for n in (1..50)] # G. C. Greubel, Nov 09 2019
(GAP) List([1..50], n-> ((32*n-27)^2 +39)/64); # G. C. Greubel, Nov 09 2019
approved
editing
<a href="/index/Rec#order_03">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).
proposed
approved
editing
proposed