A152064 a(n) = 2*n^3 - 3*n^2 + 5.

5, 4, 9, 32, 85, 180, 329, 544, 837, 1220, 1705, 2304, 3029, 3892, 4905, 6080, 7429, 8964, 10697, 12640, 14805, 17204, 19849, 22752, 25925, 29380, 33129, 37184, 41557, 46260, 51305, 56704, 62469, 68612, 75145, 82080, 89429, 97204, 105417, 114080, 123205

Offset

0,1

References

P. Curtz, Integration numerique des systemes differentiels a conditions initiales, 135 pages, Centre de Calcul Scientifique de l'Armement, Arcueil, 1969.

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

Formula

a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) + 12.

G.f.: ( 5 - 16*x + 23*x^2 ) / (x-1)^4. - R. J. Mathar, Jul 06 2011

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4); a(0)=5, a(1)=4, a(2)=9, a(3)=32. - Harvey P. Dale, Oct 12 2012

Mathematica

Table[2n^3-3n^2+5, {n, 0, 50}] (* or *) LinearRecurrence[{4, -6, 4, -1}, {5, 4, 9, 32}, 50] (* Harvey P. Dale, Oct 12 2012 *)

Prog

(Magma) [2*n^3-3*n^2+5: n in [0..40]]; // Vincenzo Librandi, Aug 07 2011
(PARI) a(n)=2*n^3-3*n^2+5 \\ Charles R Greathouse IV, Oct 07 2015

Crossrefs

Sequence in context: A046588 A086654 A286461 * A088482 A163888 A363323

Adjacent sequences: A152061 A152062 A152063 * A152065 A152066 A152067

Keyword

nonn,easy

Author

Paul Curtz, Nov 23 2008

Extensions

Simpler definition and more terms from Paolo P. Lava, Nov 27 2008

Edited by N. J. A. Sloane, Jan 04 2008

Status

approved