A084378 a(n) = n^3 + 3.

3, 4, 11, 30, 67, 128, 219, 346, 515, 732, 1003, 1334, 1731, 2200, 2747, 3378, 4099, 4916, 5835, 6862, 8003, 9264, 10651, 12170, 13827, 15628, 17579, 19686, 21955, 24392, 27003, 29794, 32771, 35940, 39307, 42878, 46659, 50656, 54875, 59322, 64003

Offset: 0

Author

Cino Hilliard, Jun 23 2003

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

Crossrefs

Cf. A084377.

Programs

Magma

[n^3+3: n in [0..50]]; // Vincenzo Librandi, Jun 10 2016

Mathematica

f[n_]:=n^3 + 3; f[Range[0, 60]] (* Vladimir Joseph Stephan Orlovsky, Feb 14 2011*)

PARI

n3pm(n,m) = { for(x=1,n,y=x^3+m; print1(y" ")) }

Formula

G.f.: (3 - 8*x + 13*x^2 - 2*x^3)/(1 - x)^4. - Vincenzo Librandi, Jun 10 2016

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n>3. - Vincenzo Librandi, Jun 10 2016

Sum_{n>=0} (-1)^n/a(n) = A371802. - R. J. Mathar, Apr 24 2024

Extensions

Offset 0 and a(0) = 3 from Vincenzo Librandi, Jun 10 2016