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%I #18 Apr 24 2024 05:49:32
%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
%F Sum_{n>=0} (-1)^n/a(n) = A371802. - _R. J. Mathar_, Apr 24 2024
%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