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 A006137 1 + n/2 + 9*n^2/2. 3

%I

%S 1,6,20,43,75,116,166,225,293,370,456,551,655,768,890,1021,1161,1310,

%T 1468,1635,1811,1996,2190,2393,2605,2826,3056,3295,3543,3800,4066,

%U 4341,4625,4918,5220,5531,5851,6180

%N 1 + n/2 + 9*n^2/2.

%H Harvey P. Dale, <a href="/A006137/b006137.txt">Table of n, a(n) for n = 0..1000</a>

%F a(n)=3*a(n-1)-3*a(n-2)+a(n-3), with a(0)=1, a(1)=6 and a(2)=20. [From _Paolo P. Lava_, Jul 17 2009]

%F a(n)=a(n-1)+9*n-4 (with a(0)=1) [From Vincenzo Librandi, Nov 18 2010]

%t s = 1; lst = {s}; Do[s += n + 4; AppendTo[lst, s], {n, 1, 350, 9}]; lst [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 11 2009]

%t Table[1+n/2+9 n^2/2,{n,0,40}] (* or *) LinearRecurrence[{3,-3,1},{1,6,20},40] (* _Harvey P. Dale_, Oct 05 2012 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_.

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