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 A140676 n*(3*n + 4). 7
 0, 7, 20, 39, 64, 95, 132, 175, 224, 279, 340, 407, 480, 559, 644, 735, 832, 935, 1044, 1159, 1280, 1407, 1540, 1679, 1824, 1975, 2132, 2295, 2464, 2639, 2820, 3007, 3200, 3399, 3604, 3815, 4032, 4255, 4484, 4719, 4960, 5207, 5460 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS FORMULA a(n)=3*n^2 + 4n. a(n)=6*n+a(n-1)+1 (with a(0)=0) [From Vincenzo Librandi, Aug 03 2010] G.f.: x*(7 - x)/(1 - x)^3. [Arkadiusz Wesolowski, Dec 24 2011] a(0)=0, a(1)=7, a(2)=20, a(n)=3*a(n-1)-3*a(n-2)+a(n-3). - Harvey P. Dale, May 04 2013 EXAMPLE a(1)=6*1+0+1=7; a(2)=6*2+7+1=20; a(3)=6*3+20+1=39 [From Vincenzo Librandi, Aug 03 2010] MATHEMATICA lst={}; Do[AppendTo[lst, n*(3*n+4)], {n, 0, 6!}]; lst [From Vladimir Joseph Stephan Orlovsky, Nov 06 2008] Table[n(3n+4), {n, 0, 50}] (* or *) LinearRecurrence[{3, -3, 1}, {0, 7, 20}, 50] (* Harvey P. Dale, May 04 2013 *) CROSSREFS Cf. A033428, A045944, A067725, A140677, A140678, A067707, A140679, A140680, A140681, A140689. Sequence in context: A200773 A063235 A063151 * A025056 A038349 A100752 Adjacent sequences:  A140673 A140674 A140675 * A140677 A140678 A140679 KEYWORD easy,nonn AUTHOR Omar E. Pol, May 22 2008 STATUS approved

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