%I #27 Aug 23 2017 23:39:20

%S 0,11,45,102,182,285,411,560,732,927,1145,1386,1650,1937,2247,2580,

%T 2936,3315,3717,4142,4590,5061,5555,6072,6612,7175,7761,8370,9002,

%U 9657,10335,11036,11760,12507,13277

%N a(n) = n*(23*n - 1)/2.

%H G. C. Greubel, <a href="/A022280/b022280.txt">Table of n, a(n) for n = 0..5000</a>

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

%F a(n) = 23*n + a(n-1) - 12 for n>0, a(0)=0. - _Vincenzo Librandi_, Aug 04 2010

%F From _Colin Barker_, Jun 05 2012: (Start)

%F G.f.: x*(11 + 12*x)/(1 - x)^3.

%F a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3). (End)

%F a(n) = A000217(12*n-1) - A000217(11*n-1). - _Bruno Berselli_, Oct 14 2016

%F E.g.f.: (x/2)*(23*x + 22)*exp(x). - _G. C. Greubel_, Aug 23 2017

%t Table[n (23 n - 1)/2, {n, 0, 40}] (* _Bruno Berselli_, Oct 14 2016 *)

%o (PARI) a(n)=n*(23*n-1)/2 \\ _Charles R Greathouse IV_, Jun 16 2017

%Y Cf. A000217, A022281.

%Y Cf. similar sequences listed in A022288.

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_