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A244726 6*n^3. 2

%I

%S 0,6,48,162,384,750,1296,2058,3072,4374,6000,7986,10368,13182,16464,

%T 20250,24576,29478,34992,41154,48000,55566,63888,73002,82944,93750,

%U 105456,118098,131712,146334,162000,178746,196608,215622,235824,257250,279936,303918

%N 6*n^3.

%H Vincenzo Librandi, <a href="/A244726/b244726.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.: 6*x*(1 + 4*x + x^2)/(1 - x)^4.

%F a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n>3.

%t Table[6 n^3, {n, 0, 40}] (* or *) CoefficientList[Series[6 x (1 + 4 x + x^2)/(1 - x)^4, {x, 0, 40}], x]

%o (MAGMA) [6*n^3: n in [0..40]] /* or */ I:=[0,6,48,162]; [n le 4 select I[n] else 4*Self(n-1)-6*Self(n-2)+4*Self(n-3)-Self(n-4): n in [1..40]];

%Y Cf. similar sequences listed in A244725.

%K nonn,easy

%O 0,2

%A _Vincenzo Librandi_, Jul 05 2014

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Last modified February 25 08:21 EST 2020. Contains 332221 sequences. (Running on oeis4.)