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%I #33 Sep 08 2022 08:45:15
%S 1,3,13,37,81,151,253,393,577,811,1101,1453,1873,2367,2941,3601,4353,
%T 5203,6157,7221,8401,9703,11133,12697,14401,16251,18253,20413,22737,
%U 25231,27901,30753,33793,37027,40461,44101,47953,52023,56317,60841,65601
%N a(n) = n^3 + n^2 + 1.
%H G. C. Greubel, <a href="/A098547/b098547.txt">Table of n, a(n) for n = 0..10000</a>
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).
%F a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4). - _Colin Barker_, Aug 29 2014
%F G.f.: (1 - x + 7*x^2 - x^3)/(1-x)^4. - _Colin Barker_, Aug 29 2014
%F a(n) = A081423(n) + A000217(n-1). - _Bruce J. Nicholson_, Jan 06 2019
%p with(combinat): seq(fibonacci(3,n)+n^3, n=0..40); # _Zerinvary Lajos_, May 25 2008
%t Table[n^3+n^2+1,{n,0,100}] (* _Vladimir Joseph Stephan Orlovsky_, Mar 09 2011 *)
%o (Magma) [(n^3+n^2+1): n in [1..60]]; // _Vincenzo Librandi_, Apr 06 2011
%o (PARI) Vec(-(x^3-7*x^2+x-1)/(x-1)^4 + O(x^100)) \\ _Colin Barker_, Aug 29 2014
%Y Cf. A000578, A066023, A001093, A034262, A071568, A011379, A027444, A053698, A033431, A033562, A061317.
%Y Cf. A081423, A000217.
%K nonn,easy
%O 0,2
%A Douglas Winston (douglas.winston(AT)srupc.com), Oct 26 2004
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