login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A084378 a(n) = n^3 + 3. 6

%I

%S 3,4,11,30,67,128,219,346,515,732,1003,1334,1731,2200,2747,3378,4099,

%T 4916,5835,6862,8003,9264,10651,12170,13827,15628,17579,19686,21955,

%U 24392,27003,29794,32771,35940,39307,42878,46659,50656,54875,59322,64003

%N a(n) = n^3 + 3.

%H Vincenzo Librandi, <a href="/A084378/b084378.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).

%F G.f.: (3 - 8*x + 13*x^2 - 2*x^3)/(1 - x)^4. - _Vincenzo Librandi_, Jun 10 2016

%F 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

%t f[n_]:=n^3 + 3; f[Range[0, 60]] (* _Vladimir Joseph Stephan Orlovsky_, Feb 14 2011*)

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

%o (MAGMA) [n^3+3: n in [0..50]]; // _Vincenzo Librandi_, Jun 10 2016

%Y Cf. A084377.

%K nonn,easy

%O 0,1

%A _Cino Hilliard_, Jun 23 2003

%E Offset 0 and a(0) = 3 from _Vincenzo Librandi_, Jun 10 2016

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 24 03:26 EDT 2021. Contains 347623 sequences. (Running on oeis4.)