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 A033576 a(n) = (2*n+1)*(12*n+1). 1
 1, 39, 125, 259, 441, 671, 949, 1275, 1649, 2071, 2541, 3059, 3625, 4239, 4901, 5611, 6369, 7175, 8029, 8931, 9881, 10879, 11925, 13019, 14161, 15351, 16589, 17875, 19209, 20591, 22021, 23499, 25025 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (3,-3,1). FORMULA From Colin Barker, Jun 10 2012: (Start) a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3). G.f.: (1 + 36*x + 11*x^2)/(1-x)^3. (End) a(n) = A005408(n) * A017533(n). - Wesley Ivan Hurt, Feb 02 2014 E.g.f.: (1 + 38*x + 24*x^2)*exp(x). - G. C. Greubel, Oct 12 2019 MAPLE A033576:=n->(2*n+1)*(12*n+1); seq(A033576(n), n=0..50); # Wesley Ivan Hurt, Feb 02 2014 MATHEMATICA Table[(2n+1)(12n+1), {n, 0, 50}] (* Harvey P. Dale, Mar 30 2011 *) CoefficientList[Series[(1+36*x+11*x^2)/(1-x)^3, {x, 0, 50}], x] (* Vincenzo Librandi, Jul 07 2012 *) PROG (Magma) [(2*n+1)*(12*n+1): n in [0..50]]; // Vincenzo Librandi, Jul 07 2012 (PARI) a(n)=(2*n+1)*(12*n+1) \\ Charles R Greathouse IV, Jun 17 2017 (Sage) [(2*n+1)*(12*n+1) for n in range(50)] # G. C. Greubel, Oct 12 2019 (GAP) List([0..50], n-> (2*n+1)*(12*n+1)); # G. C. Greubel, Oct 12 2019 CROSSREFS Cf. A005408, A017533. Sequence in context: A044290 A044671 A020266 * A082656 A072933 A118634 Adjacent sequences: A033573 A033574 A033575 * A033577 A033578 A033579 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified March 23 10:58 EDT 2023. Contains 361443 sequences. (Running on oeis4.)