A024031 - OEIS

%I #25 May 29 2026 08:03:15

%S 1,2,-247,-6534,-65455,-390382,-1678887,-5762614,-16770655,-43027038,

%T -99940951,-214181734,-429450255,-814136398,-1471006087,-2548541718,

%U -4251920575,-6846617278,-10632540087,-15821301574,-22113215599

%N a(n) = 3^n - n^8.

%H Vincenzo Librandi, <a href="/A024031/b024031.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (12,-63,192,-378,504,-462,288,-117,28,-3).

%F a(n) = 12*a(n-1) - 63*a(n-2) + 192*a(n-3) - 378*a(n-4) + 504*a(n-5) - 462*a(n-6) + 288*a(n-7) - 117*a(n-8) + 28*a(n-9) - 3*a(n-10); a(0)=1, a(1)=2, a(2)=-247, a(3)=-6534, a(4)=-65455, a(5)=-390382, a(6)=-1678887, a(7)=-5762614, a(8)=-16770655, a(9)=-43027038. - _Harvey P. Dale_, Sep 25 2014

%t Table[3^n-n^8,{n,0,30}] (* or *) LinearRecurrence[{12,-63,192,-378,504,-462,288,-117,28,-3},{1,2,-247,-6534,-65455,-390382,-1678887,-5762614,-16770655,-43027038},30] (* _Harvey P. Dale_, Sep 25 2014 *)

%o (Magma) [3^n-n^8: n in [0..35]]; // _Vincenzo Librandi_, May 13 2011

%o (Python)

%o def A024031(n): return 3**n - n**8 # _Aidan Chen_, Feb 13 2026

%o (PARI) a(n)=3^n-n^8 \\ _Charles R Greathouse IV_, May 29 2026

%K sign,easy

%O 0,2

%A _N. J. A. Sloane_