This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A134633 #21 Sep 08 2022 08:45:32
%S A134633 0,10,192,1314,5344,16050,39600,85162,165504,297594,503200,809490,
%T A134633 1249632,1863394,2697744,3807450,5255680,7114602,9465984,12401794,
%U A134633 16024800,20449170,25801072,32219274,39855744,48876250,59460960,71805042,86119264,102630594,121582800,143237050,167872512,195786954,227297344
%N A134633 5*n^5 + 3*n^3 + 2*n^2. Coefficients and exponents are the prime numbers in decreasing order.
%H A134633 Vincenzo Librandi, <a href="/A134633/b134633.txt">Table of n, a(n) for n = 0..1000</a>
%H A134633 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6, -15, 20, -15, 6, -1).
%F A134633 a(n) = 5*n^5 + 3*n^3 + 2*n^2.
%F A134633 G.f.: 2x*(5+66x+156x^2+70x^3+3x^4)/(1-x)^6. - _R. J. Mathar_, Nov 14 2007
%F A134633 a(0)=0, a(1)=10, a(2)=192, a(3)=1314, a(4)=5344, a(5)=16050, a(n)= 6*a(n-1)- 15*a(n-2)+20*a(n-3)-15*a(n-4)+6*a(n-5)-a(n-6). - _Harvey P. Dale_, Apr 25 2012
%e A134633 a(4)=5344 because 4^5=1024, 5*1024=5120, 4^3=64, 3*64=192, 4^2=16, 2*16=32 and we can write 5120+192+32=5344.
%p A134633 A134633:=n->5*n^5 + 3*n^3 + 2*n^2; seq(A134633(n), n=0..50); # _Wesley Ivan Hurt_, May 21 2014
%t A134633 Table[5n^5+3n^3+2n^2,{n,0,40}] (* or *) LinearRecurrence[ {6,-15,20,-15,6,-1},{0,10,192,1314,5344,16050},40] (* _Harvey P. Dale_, Apr 25 2012 *)
%t A134633 CoefficientList[Series[2 x (5 + 66 x + 156 x^2 + 70 x^3 + 3x^4)/(1 - x)^6, {x, 0, 50}], x] (* _Vincenzo Librandi_, May 21 2014 *)
%o A134633 (Magma)[5*n^5+3*n^3+2*n^2: n in [0..50]]; // _Vincenzo Librandi_, Dec 14 2010
%Y A134633 Cf. A000290, A000578, A000584, A045991, A100019, A133073.
%K A134633 nonn,easy
%O A134633 0,2
%A A134633 _Omar E. Pol_, Nov 04 2007
%E A134633 More terms from _Vincenzo Librandi_, Dec 14 2010