A152064 - OEIS

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

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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