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 A027599 a(n) = 3n^2 - 7n + 6. 3

%I

%S 6,2,4,12,26,46,72,104,142,186,236,292,354,422,496,576,662,754,852,

%T 956,1066,1182,1304,1432,1566,1706,1852,2004,2162,2326,2496,2672,2854,

%U 3042,3236,3436,3642,3854,4072,4296,4526,4762,5004,5252,5506

%N a(n) = 3n^2 - 7n + 6.

%D Encyclopaedia Britannica, 1965 ed., Vol. 16 pp. 755-756.

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).

%F a(n) = a(n-1) + 6*n - 10 (with a(0)=6). - _Vincenzo Librandi_, Nov 19 2010

%F a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3). G.f.: 2*(3 - 8*x + 8*x^2)/(1 - x)^3. - _Colin Barker_, May 22 2012

%t lst={};Do[AppendTo[lst, 3*n^2-7*n+6], {n, 0, 4!}];lst...and/or... s=2;lst={6, s};Do[s+=n+1;AppendTo[lst, s], {n, 1, 5!, 6}];lst (* _Vladimir Joseph Stephan Orlovsky_, Oct 25 2008 *)

%o (PARI) a(n)=3*n^2-7*n+6 \\ _Charles R Greathouse IV_, Jun 17 2017

%Y Cf. A049450.

%K nonn,easy

%O 0,1

%A _Patrick De Geest_

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Last modified October 17 16:34 EDT 2018. Contains 316285 sequences. (Running on oeis4.)