A035107 First differences give (essentially) A028242.

3, 9, 17, 29, 44, 64, 88, 118, 153, 195, 243, 299, 362, 434, 514, 604, 703, 813, 933, 1065, 1208, 1364, 1532, 1714, 1909, 2119, 2343, 2583, 2838, 3110, 3398, 3704, 4027, 4369, 4729, 5109, 5508, 5928, 6368, 6830, 7313, 7819, 8347, 8899, 9474

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (3,-2,-2,3,-1).

Formula

a(n) = (4*n^3 +54*n^2 +212*n +153 -9*(-1)^n)/48.

G.f.: (2*x^3-4*x^2+3) / ((x-1)^4*(x+1)). - Colin Barker, Mar 04 2013

Mathematica

LinearRecurrence[{3, -2, -2, 3, -1}, {3, 9, 17, 29, 44}, 50] (* Harvey P. Dale, Oct 20 2013 *)
CoefficientList[Series[(2 x^3 - 4 x^2 + 3)/((x - 1)^4 (x + 1)), {x, 0, 50}], x] (* Vincenzo Librandi, Oct 21 2013 *)

Prog

(Magma) [(4*n^3+54*n^2+212*n+153-9*(-1)^n)/48: n in [0..50]]; // Vincenzo Librandi, Oct 21 2013

Crossrefs

Cf. A028242, A004652, A035104, A035106.

Sequence in context: A057258 A018466 A171152 * A090262 A190815 A006459

Adjacent sequences: A035104 A035105 A035106 * A035108 A035109 A035110

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved