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 A177058 n^3 - 3n^2 + 3. 2
 3, 1, -1, 3, 19, 53, 111, 199, 323, 489, 703, 971, 1299, 1693, 2159, 2703, 3331, 4049, 4863, 5779, 6803, 7941, 9199, 10583, 12099, 13753, 15551, 17499, 19603, 21869, 24303, 26911, 29699, 32673, 35839, 39203, 42771, 46549, 50543, 54759, 59203 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS For n>2, fourth diagonal of A162611. LINKS B. Berselli, Table of n, a(n) for n = 0..10000 Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1). FORMULA Contribution from Bruno Berselli, Jun 04 2010: (Start) G.f.: (3-11*x+13*x^2+x^3)/(1-x)^4. a(n)-4*a(n-1)+6*a(n-2)-4*a(n-3)+a(n-4) = 0, with n>3. a(n)+a(n-1) = 2*A081438(n-3), with n>2. (End) G.f.: 3+x+x^2*G(0)  where G(k)=  1 - x*(k+1)*(k+1)*(k+4)/(1 - 1/(1 - (k+1)*(k+1)*(k+4)/G(k+1))) ; (continued fraction, 3-step). - Sergei N. Gladkovskii, Oct 16 2012 MATHEMATICA Table[n^3-3n^2+3, {n, 0, 40}] (* or *) LinearRecurrence[{4, -6, 4, -1}, {3, 1, -1, 3}, 50] (* Harvey P. Dale, May 15 2020 *) PROG (PARI) a(n)=n^3-3*n^2+3 \\ Charles R Greathouse IV, Jan 11 2012 CROSSREFS Cf. A162611, A081438. Sequence in context: A245537 A277198 A242735 * A176921 A000503 A254864 Adjacent sequences:  A177055 A177056 A177057 * A177059 A177060 A177061 KEYWORD sign,easy AUTHOR Vincenzo Librandi, May 27 2010 STATUS approved

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Last modified January 15 12:54 EST 2021. Contains 340187 sequences. (Running on oeis4.)