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 A156810 a(n) = 225*n^2 - 251*n + 70. 1
 70, 44, 468, 1342, 2666, 4440, 6664, 9338, 12462, 16036, 20060, 24534, 29458, 34832, 40656, 46930, 53654, 60828, 68452, 76526, 85050, 94024, 103448, 113322, 123646, 134420, 145644, 157318, 169442, 182016, 195040, 208514, 222438, 236812, 251636 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..10000 Index entries for linear recurrences with constant coefficients, signature (3,-3,1). FORMULA From Vincenzo Librandi, Feb 08 2012: (Start) 900*a(n) + 1 = (450*n - 251)^2. G.f.: (70 - 166*x + 546*x^2)/(1-x)^3. a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3). (End) E.g.f.: (70 - 26*x + 225*x^2)*exp(x). - G. C. Greubel, Jun 10 2021 MATHEMATICA LinearRecurrence[{3, -3, 1}, {70, 44, 468}, 40] (* Vincenzo Librandi, Feb 02 2012 *) PROG (PARI) a(n)=225*n^2-251*n+70 \\ Charles R Greathouse IV, Dec 23 2011 (Magma) I:=[70, 44, 468]; [n le 3 select I[n] else 3*Self(n-1) -3*Self(n-2) +Self(n-3): n in [1..40]]; // Vincenzo Librandi, Feb 08 2012 (Sage) [225*n^2 - 251*n + 70 for n in (0..40)] # G. C. Greubel, Jun 10 2021 CROSSREFS Cf. A156840. Sequence in context: A033390 A129352 A318571 * A252714 A245046 A265727 Adjacent sequences: A156807 A156808 A156809 * A156811 A156812 A156813 KEYWORD nonn,easy AUTHOR Vincenzo Librandi, Feb 16 2009, corrected Feb 20 2009 EXTENSIONS Offset corrected by R. J. Mathar, Aug 18 2009 STATUS approved

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Last modified April 18 10:01 EDT 2024. Contains 371779 sequences. (Running on oeis4.)